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Finding the Fourth Proportional to 782,997.24, 1,080,485 and 460,645

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Solution

The fourth proportional to 782,997.24, 1,080,485 and 460,645 is: 635,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,997.24 : 1,080,485 = 460,645 : x
  2. Step 2: Convert to fraction form
    782,997.24/1,080,485 = 460,645/x
  3. Step 3: Cross multiply
    782,997.24x = 1,080,485 × 460,645
  4. Step 4: Simplify right side
    782,997.24x = 497,720,012,825
  5. Step 5: Solve for x
    x = 497,720,012,825/782,997.24
  6. Step 6: Final answer
    x = 635,659.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.