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Finding the Fourth Proportional to 396,497.28, 594,743.16 and 96,982.17

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Solution

The fourth proportional to 396,497.28, 594,743.16 and 96,982.17 is: 145,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,497.28 : 594,743.16 = 96,982.17 : x
  2. Step 2: Convert to fraction form
    396,497.28/594,743.16 = 96,982.17/x
  3. Step 3: Cross multiply
    396,497.28x = 594,743.16 × 96,982.17
  4. Step 4: Simplify right side
    396,497.28x = 57,679,482,249.46
  5. Step 5: Solve for x
    x = 57,679,482,249.46/396,497.28
  6. Step 6: Final answer
    x = 145,472.58

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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.