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A company uses the dollar$-$value LIFO method of computing inventory. An external price index is used to convert ending inventory to base year. The company began operations on January $1,2024,$ with an inventory of $$275,000.$ Year$-$end inventories at year$-$end costs and cost indexes for its one inventory pool were as follows:

$\backslash$table$[[$ear Ended,Ending Inventory,at Cost Index $($Re$)],[$December $31,$Year$-$End Costs,Base Year$)],[2024,$$$378,000,1\mathrm{.}08],[2025,480,260,1\mathrm{.}18],[2026,456,550,1\mathrm{.}15],[2027,440,000,1\mathrm{.}10]]$

Required:

Calculate inventory amounts at the end of each year.

Note: Round intermediate calculations and final answers to the nearest whole dollars.

$\backslash$table$[[$Date$,\backslash$table$[[$Inventory Layers Converted$],[$to Base Year Cost$]],$Inventory Layers Converted to Cost,$\backslash$table$[[$Inventory DVL$],[$Cost$]]],[\backslash$table$[[$Inventory at$],[$Year$-$End$],[$Cost$]],\backslash$table$[[$Inventory$],[$Layers at$],[$Base Year$],[$Cost$]],,\backslash$table$[[$Inventory$],[$Layers at Base$],[$Year Cost$]],\backslash$table$[[$Inventory$],[$Layers$],[$Converted to$],[$Cost$]],,],[01/01/2024,,,$Base,,,$$,0],[\frac{12}{31}\frac{?}{2024},,,$Base,,,,$],[,,2024,,,$$$,0],[\frac{12}{31}\frac{?}{2025},,,$Base,,,,$],[,,2024,,,,],[,,2025,,,$$$,0],[\frac{12}{31}\frac{?}{2026},,,$Base,,,,$],[,,2024,,,,],[,,2025,,,,],[,,2026,,,$$$,0],[\frac{12}{31}\frac{?}{2027},,,$Base,,,,$],[,,2024,,,,],[,,2025,,,,],[,,2026,,,,],[,,2027,,,$$$,0]]$