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Finding the Fourth Proportional to 468,761.20, 703,252.92 and 153,217.20

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Solution

The fourth proportional to 468,761.20, 703,252.92 and 153,217.20 is: 229,862.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,761.20 : 703,252.92 = 153,217.20 : x
  2. Step 2: Convert to fraction form
    468,761.20/703,252.92 = 153,217.20/x
  3. Step 3: Cross multiply
    468,761.20x = 703,252.92 × 153,217.20
  4. Step 4: Simplify right side
    468,761.20x = 107,750,443,294.22
  5. Step 5: Solve for x
    x = 107,750,443,294.22/468,761.20
  6. Step 6: Final answer
    x = 229,862.12

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Why These Related Problems?

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