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Finding the Fourth Proportional to 574,213.50, 861,327.54 and 200,236.50

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Solution

The fourth proportional to 574,213.50, 861,327.54 and 200,236.50 is: 300,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,213.50 : 861,327.54 = 200,236.50 : x
  2. Step 2: Convert to fraction form
    574,213.50/861,327.54 = 200,236.50/x
  3. Step 3: Cross multiply
    574,213.50x = 861,327.54 × 200,236.50
  4. Step 4: Simplify right side
    574,213.50x = 172,469,211,963.21
  5. Step 5: Solve for x
    x = 172,469,211,963.21/574,213.50
  6. Step 6: Final answer
    x = 300,357.29

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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.