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Finding the Fourth Proportional to 396,697.43, 595,042.02 and 97,179.57

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Solution

The fourth proportional to 396,697.43, 595,042.02 and 97,179.57 is: 145,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,697.43 : 595,042.02 = 97,179.57 : x
  2. Step 2: Convert to fraction form
    396,697.43/595,042.02 = 97,179.57/x
  3. Step 3: Cross multiply
    396,697.43x = 595,042.02 × 97,179.57
  4. Step 4: Simplify right side
    396,697.43x = 57,825,927,635.53
  5. Step 5: Solve for x
    x = 57,825,927,635.53/396,697.43
  6. Step 6: Final answer
    x = 145,768.34

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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.