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Finding the Fourth Proportional to 443,227.34, 664,381.20 and 206,375.24

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Solution

The fourth proportional to 443,227.34, 664,381.20 and 206,375.24 is: 309,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,227.34 : 664,381.20 = 206,375.24 : x
  2. Step 2: Convert to fraction form
    443,227.34/664,381.20 = 206,375.24/x
  3. Step 3: Cross multiply
    443,227.34x = 664,381.20 × 206,375.24
  4. Step 4: Simplify right side
    443,227.34x = 137,111,829,601.49
  5. Step 5: Solve for x
    x = 137,111,829,601.49/443,227.34
  6. Step 6: Final answer
    x = 309,348.76

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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.