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Finding the Fourth Proportional to 461,711.14, 635,740.17 and 393,575.38

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Solution

The fourth proportional to 461,711.14, 635,740.17 and 393,575.38 is: 541,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,711.14 : 635,740.17 = 393,575.38 : x
  2. Step 2: Convert to fraction form
    461,711.14/635,740.17 = 393,575.38/x
  3. Step 3: Cross multiply
    461,711.14x = 635,740.17 × 393,575.38
  4. Step 4: Simplify right side
    461,711.14x = 250,211,678,989.02
  5. Step 5: Solve for x
    x = 250,211,678,989.02/461,711.14
  6. Step 6: Final answer
    x = 541,922.55

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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.