John Fillmore's lifelong dream is to own his own fishing boat to use in his retirement. John has recently come into an inheritance of $448,800.

John Fillmore’s lifelong dream is to own his own fishing boat to use in his retirement. John has recently come into an inheritance of $448,800. He estimates that the boat he wants will cost $339,700 when he retires in 6 years. How much of his inheritance must he invest at an annual rate of 11% (compounded annually) to buy the boat at retirement?