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Finding the Fourth Proportional to 541,096.38, 746,735.02 and 299,375.03

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Solution

The fourth proportional to 541,096.38, 746,735.02 and 299,375.03 is: 413,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,096.38 : 746,735.02 = 299,375.03 : x
  2. Step 2: Convert to fraction form
    541,096.38/746,735.02 = 299,375.03/x
  3. Step 3: Cross multiply
    541,096.38x = 746,735.02 × 299,375.03
  4. Step 4: Simplify right side
    541,096.38x = 223,553,820,132.95
  5. Step 5: Solve for x
    x = 223,553,820,132.95/541,096.38
  6. Step 6: Final answer
    x = 413,149.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.