Digital Tech Dynamics purchased a new quality inspection system for $550,000. The estimated salvage value was $50,000 after 10 years. Currently, the expected remaining life is 7 years with an AOC of $22,500 per year and an estimated salvage value of $40,000. The new president has recommended early replacement of the system with one that costs $360,000 and has a 12-year economic service life, a $35,000 salvage value, and an estimated AOC of $50,000 per year. If the MARR for the corporation is 12% per year, use factor-based relations to determine the minimum trade-in value necessary now to make the presidents replacement economically advantageous. The minimum trade-in value necessary now to make the presidents replacement economically advantageous is $______