Problem $8-15($Algo$)$ Dollar$-$value LIFO $[$LO$8-8]$

On January $1,2024,$ a company adopted the dollar$-$value LIFO inventory method. The inventory value for its one inventory pool on this date was $$305,000.$ An internally generated cost index is used to convert ending inventory to base year. Year$-$end inventories at year$-$end costs and cost indexes for its one inventory pool were as follows:

$\backslash$table$[[\backslash$table$[[$Year Ended$],[$December $31]],\backslash$table$[[$Inventory Year$-],[$End Costs$]],\backslash$table$[[$Costex $($Relative to$],[$Base Year$)]]],[2024,$$$390,660,1\mathrm{.}02],[2025,402,800,1\mathrm{.}06],[2026,457,960,1\mathrm{.}07],[2027,491,700,1\mathrm{.}10]]$

Required:

Calculate inventory amounts at the end of each year.

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