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Finding the Fourth Proportional to 462,241.92, 693,388.80 and 129,792

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Solution

The fourth proportional to 462,241.92, 693,388.80 and 129,792 is: 194,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,241.92 : 693,388.80 = 129,792 : x
  2. Step 2: Convert to fraction form
    462,241.92/693,388.80 = 129,792/x
  3. Step 3: Cross multiply
    462,241.92x = 693,388.80 × 129,792
  4. Step 4: Simplify right side
    462,241.92x = 89,996,319,129.60
  5. Step 5: Solve for x
    x = 89,996,319,129.60/462,241.92
  6. Step 6: Final answer
    x = 194,695.28

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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.