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Finding the Fourth Proportional to 466,430.12, 699,695.16 and 129,472.20

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Solution

The fourth proportional to 466,430.12, 699,695.16 and 129,472.20 is: 194,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,430.12 : 699,695.16 = 129,472.20 : x
  2. Step 2: Convert to fraction form
    466,430.12/699,695.16 = 129,472.20/x
  3. Step 3: Cross multiply
    466,430.12x = 699,695.16 × 129,472.20
  4. Step 4: Simplify right side
    466,430.12x = 90,591,071,694.55
  5. Step 5: Solve for x
    x = 90,591,071,694.55/466,430.12
  6. Step 6: Final answer
    x = 194,222.17

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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.