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Finding the Fourth Proportional to 396,723.78, 595,085.70 and 101,235.78

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Solution

The fourth proportional to 396,723.78, 595,085.70 and 101,235.78 is: 151,853.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,723.78 : 595,085.70 = 101,235.78 : x
  2. Step 2: Convert to fraction form
    396,723.78/595,085.70 = 101,235.78/x
  3. Step 3: Cross multiply
    396,723.78x = 595,085.70 × 101,235.78
  4. Step 4: Simplify right side
    396,723.78x = 60,243,965,006.35
  5. Step 5: Solve for x
    x = 60,243,965,006.35/396,723.78
  6. Step 6: Final answer
    x = 151,853.68

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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.