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Finding the Fourth Proportional to 538,614.40, 807,727.20 and 272,286.40

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Solution

The fourth proportional to 538,614.40, 807,727.20 and 272,286.40 is: 408,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,614.40 : 807,727.20 = 272,286.40 : x
  2. Step 2: Convert to fraction form
    538,614.40/807,727.20 = 272,286.40/x
  3. Step 3: Cross multiply
    538,614.40x = 807,727.20 × 272,286.40
  4. Step 4: Simplify right side
    538,614.40x = 219,933,131,470.08
  5. Step 5: Solve for x
    x = 219,933,131,470.08/538,614.40
  6. Step 6: Final answer
    x = 408,331.32

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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.