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Finding the Fourth Proportional to 458,080.47, 687,167.78 and 158,560.56

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Solution

The fourth proportional to 458,080.47, 687,167.78 and 158,560.56 is: 237,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,080.47 : 687,167.78 = 158,560.56 : x
  2. Step 2: Convert to fraction form
    458,080.47/687,167.78 = 158,560.56/x
  3. Step 3: Cross multiply
    458,080.47x = 687,167.78 × 158,560.56
  4. Step 4: Simplify right side
    458,080.47x = 108,957,707,217.95
  5. Step 5: Solve for x
    x = 108,957,707,217.95/458,080.47
  6. Step 6: Final answer
    x = 237,857.13

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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.