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Finding the Fourth Proportional to 732,642.10, 1,098,963.15 and 412,465.30

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Solution

The fourth proportional to 732,642.10, 1,098,963.15 and 412,465.30 is: 618,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,642.10 : 1,098,963.15 = 412,465.30 : x
  2. Step 2: Convert to fraction form
    732,642.10/1,098,963.15 = 412,465.30/x
  3. Step 3: Cross multiply
    732,642.10x = 1,098,963.15 × 412,465.30
  4. Step 4: Simplify right side
    732,642.10x = 453,284,165,353.70
  5. Step 5: Solve for x
    x = 453,284,165,353.70/732,642.10
  6. Step 6: Final answer
    x = 618,697.95

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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.