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Finding the Fourth Proportional to 408,691.34, 613,125.25 and 124,404.12

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Solution

The fourth proportional to 408,691.34, 613,125.25 and 124,404.12 is: 186,633.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,691.34 : 613,125.25 = 124,404.12 : x
  2. Step 2: Convert to fraction form
    408,691.34/613,125.25 = 124,404.12/x
  3. Step 3: Cross multiply
    408,691.34x = 613,125.25 × 124,404.12
  4. Step 4: Simplify right side
    408,691.34x = 76,275,306,865.02
  5. Step 5: Solve for x
    x = 76,275,306,865.02/408,691.34
  6. Step 6: Final answer
    x = 186,633.04

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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.