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Finding the Fourth Proportional to 396,412.92, 594,681.48 and 130,113

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Solution

The fourth proportional to 396,412.92, 594,681.48 and 130,113 is: 195,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,412.92 : 594,681.48 = 130,113 : x
  2. Step 2: Convert to fraction form
    396,412.92/594,681.48 = 130,113/x
  3. Step 3: Cross multiply
    396,412.92x = 594,681.48 × 130,113
  4. Step 4: Simplify right side
    396,412.92x = 77,375,791,407.24
  5. Step 5: Solve for x
    x = 77,375,791,407.24/396,412.92
  6. Step 6: Final answer
    x = 195,189.88

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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.