Henry Fillmore's lifelong dream is to own his own fishing boat to use in his retirement. Henry has recently come into an inheritance of $$440,500.$ He estimates that the boat he wants will cost $$319,200$ when he retires in $6$ years.

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How much of his inheritance must he invest at an annual rate of $12\%($compounded annually$)$ to buy the boat at retirement? $($Round factor values to $5$ decimal places, eg$.1\mathrm{.}25124$ and final answers to $0$ decimal places, eg$.458,581.)$

Investment amount

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