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Finding the Fourth Proportional to 464,591.34, 696,886.92 and 132,167.34

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Solution

The fourth proportional to 464,591.34, 696,886.92 and 132,167.34 is: 198,250.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,591.34 : 696,886.92 = 132,167.34 : x
  2. Step 2: Convert to fraction form
    464,591.34/696,886.92 = 132,167.34/x
  3. Step 3: Cross multiply
    464,591.34x = 696,886.92 × 132,167.34
  4. Step 4: Simplify right side
    464,591.34x = 92,105,690,497.19
  5. Step 5: Solve for x
    x = 92,105,690,497.19/464,591.34
  6. Step 6: Final answer
    x = 198,250.98

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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.