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Finding the Fourth Proportional to 396,252.65, 594,397.82 and 126,409.46

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Solution

The fourth proportional to 396,252.65, 594,397.82 and 126,409.46 is: 189,620.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,252.65 : 594,397.82 = 126,409.46 : x
  2. Step 2: Convert to fraction form
    396,252.65/594,397.82 = 126,409.46/x
  3. Step 3: Cross multiply
    396,252.65x = 594,397.82 × 126,409.46
  4. Step 4: Simplify right side
    396,252.65x = 75,137,503,847.34
  5. Step 5: Solve for x
    x = 75,137,503,847.34/396,252.65
  6. Step 6: Final answer
    x = 189,620.19

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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.