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Finding the Fourth Proportional to 242,301.20, 363,451.80 and 231,414.80

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Solution

The fourth proportional to 242,301.20, 363,451.80 and 231,414.80 is: 347,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,301.20 : 363,451.80 = 231,414.80 : x
  2. Step 2: Convert to fraction form
    242,301.20/363,451.80 = 231,414.80/x
  3. Step 3: Cross multiply
    242,301.20x = 363,451.80 × 231,414.80
  4. Step 4: Simplify right side
    242,301.20x = 84,108,125,606.64
  5. Step 5: Solve for x
    x = 84,108,125,606.64/242,301.20
  6. Step 6: Final answer
    x = 347,122.20

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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.