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Finding the Fourth Proportional to 431,712.60, 646,877.70 and 273,658.20

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Solution

The fourth proportional to 431,712.60, 646,877.70 and 273,658.20 is: 410,049.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,712.60 : 646,877.70 = 273,658.20 : x
  2. Step 2: Convert to fraction form
    431,712.60/646,877.70 = 273,658.20/x
  3. Step 3: Cross multiply
    431,712.60x = 646,877.70 × 273,658.20
  4. Step 4: Simplify right side
    431,712.60x = 177,023,387,002.14
  5. Step 5: Solve for x
    x = 177,023,387,002.14/431,712.60
  6. Step 6: Final answer
    x = 410,049.16

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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.