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Finding the Fourth Proportional to 291,604.75, 402,414.56 and 157,468.75

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Solution

The fourth proportional to 291,604.75, 402,414.56 and 157,468.75 is: 217,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,604.75 : 402,414.56 = 157,468.75 : x
  2. Step 2: Convert to fraction form
    291,604.75/402,414.56 = 157,468.75/x
  3. Step 3: Cross multiply
    291,604.75x = 402,414.56 × 157,468.75
  4. Step 4: Simplify right side
    291,604.75x = 63,367,717,745
  5. Step 5: Solve for x
    x = 63,367,717,745/291,604.75
  6. Step 6: Final answer
    x = 217,306.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.