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Finding the Fourth Proportional to 501,214.68, 752,463.52 and 430,589.16

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Solution

The fourth proportional to 501,214.68, 752,463.52 and 430,589.16 is: 646,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,214.68 : 752,463.52 = 430,589.16 : x
  2. Step 2: Convert to fraction form
    501,214.68/752,463.52 = 430,589.16/x
  3. Step 3: Cross multiply
    501,214.68x = 752,463.52 × 430,589.16
  4. Step 4: Simplify right side
    501,214.68x = 324,002,635,007.44
  5. Step 5: Solve for x
    x = 324,002,635,007.44/501,214.68
  6. Step 6: Final answer
    x = 646,434.85

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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.