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Finding the Fourth Proportional to 469,174.47, 703,802.40 and 132,217.30

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Solution

The fourth proportional to 469,174.47, 703,802.40 and 132,217.30 is: 198,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,174.47 : 703,802.40 = 132,217.30 : x
  2. Step 2: Convert to fraction form
    469,174.47/703,802.40 = 132,217.30/x
  3. Step 3: Cross multiply
    469,174.47x = 703,802.40 × 132,217.30
  4. Step 4: Simplify right side
    469,174.47x = 93,054,853,061.52
  5. Step 5: Solve for x
    x = 93,054,853,061.52/469,174.47
  6. Step 6: Final answer
    x = 198,337.42

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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.