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Finding the Fourth Proportional to 396,096.96, 594,349.68 and 263,069.28

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Solution

The fourth proportional to 396,096.96, 594,349.68 and 263,069.28 is: 394,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,096.96 : 594,349.68 = 263,069.28 : x
  2. Step 2: Convert to fraction form
    396,096.96/594,349.68 = 263,069.28/x
  3. Step 3: Cross multiply
    396,096.96x = 594,349.68 × 263,069.28
  4. Step 4: Simplify right side
    396,096.96x = 156,355,142,385.83
  5. Step 5: Solve for x
    x = 156,355,142,385.83/396,096.96
  6. Step 6: Final answer
    x = 394,739.57

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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.