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Finding the Fourth Proportional to 485,309.10, 727,963.65 and 417,657.90

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Solution

The fourth proportional to 485,309.10, 727,963.65 and 417,657.90 is: 626,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,309.10 : 727,963.65 = 417,657.90 : x
  2. Step 2: Convert to fraction form
    485,309.10/727,963.65 = 417,657.90/x
  3. Step 3: Cross multiply
    485,309.10x = 727,963.65 × 417,657.90
  4. Step 4: Simplify right side
    485,309.10x = 304,039,769,335.34
  5. Step 5: Solve for x
    x = 304,039,769,335.34/485,309.10
  6. Step 6: Final answer
    x = 626,486.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.