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Finding the Fourth Proportional to 488,493.92, 732,761.44 and 133,506.97

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Solution

The fourth proportional to 488,493.92, 732,761.44 and 133,506.97 is: 200,266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,493.92 : 732,761.44 = 133,506.97 : x
  2. Step 2: Convert to fraction form
    488,493.92/732,761.44 = 133,506.97/x
  3. Step 3: Cross multiply
    488,493.92x = 732,761.44 × 133,506.97
  4. Step 4: Simplify right side
    488,493.92x = 97,828,757,421.57
  5. Step 5: Solve for x
    x = 97,828,757,421.57/488,493.92
  6. Step 6: Final answer
    x = 200,266.07

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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.