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Finding the Fourth Proportional to 396,902.80, 593,896.20 and 291,926.80

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Solution

The fourth proportional to 396,902.80, 593,896.20 and 291,926.80 is: 436,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,902.80 : 593,896.20 = 291,926.80 : x
  2. Step 2: Convert to fraction form
    396,902.80/593,896.20 = 291,926.80/x
  3. Step 3: Cross multiply
    396,902.80x = 593,896.20 × 291,926.80
  4. Step 4: Simplify right side
    396,902.80x = 173,374,217,198.16
  5. Step 5: Solve for x
    x = 173,374,217,198.16/396,902.80
  6. Step 6: Final answer
    x = 436,817.82

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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.