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Finding the Fourth Proportional to 396,255.76, 594,381.54 and 96,737.92

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Solution

The fourth proportional to 396,255.76, 594,381.54 and 96,737.92 is: 145,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,255.76 : 594,381.54 = 96,737.92 : x
  2. Step 2: Convert to fraction form
    396,255.76/594,381.54 = 96,737.92/x
  3. Step 3: Cross multiply
    396,255.76x = 594,381.54 × 96,737.92
  4. Step 4: Simplify right side
    396,255.76x = 57,499,233,866.00
  5. Step 5: Solve for x
    x = 57,499,233,866.00/396,255.76
  6. Step 6: Final answer
    x = 145,106.37

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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.