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Finding the Fourth Proportional to 488,045.11, 732,046.10 and 133,059.17

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Solution

The fourth proportional to 488,045.11, 732,046.10 and 133,059.17 is: 199,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,045.11 : 732,046.10 = 133,059.17 : x
  2. Step 2: Convert to fraction form
    488,045.11/732,046.10 = 133,059.17/x
  3. Step 3: Cross multiply
    488,045.11x = 732,046.10 × 133,059.17
  4. Step 4: Simplify right side
    488,045.11x = 97,405,442,142.21
  5. Step 5: Solve for x
    x = 97,405,442,142.21/488,045.11
  6. Step 6: Final answer
    x = 199,582.87

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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.