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Finding the Fourth Proportional to 396,454.80, 594,747.54 and 159,777.48

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Solution

The fourth proportional to 396,454.80, 594,747.54 and 159,777.48 is: 239,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,454.80 : 594,747.54 = 159,777.48 : x
  2. Step 2: Convert to fraction form
    396,454.80/594,747.54 = 159,777.48/x
  3. Step 3: Cross multiply
    396,454.80x = 594,747.54 × 159,777.48
  4. Step 4: Simplify right side
    396,454.80x = 95,027,263,177.40
  5. Step 5: Solve for x
    x = 95,027,263,177.40/396,454.80
  6. Step 6: Final answer
    x = 239,692.55

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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.