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Finding the Fourth Proportional to 324,000.62, 447,121.13 and 180,760.69

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Solution

The fourth proportional to 324,000.62, 447,121.13 and 180,760.69 is: 249,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,000.62 : 447,121.13 = 180,760.69 : x
  2. Step 2: Convert to fraction form
    324,000.62/447,121.13 = 180,760.69/x
  3. Step 3: Cross multiply
    324,000.62x = 447,121.13 × 180,760.69
  4. Step 4: Simplify right side
    324,000.62x = 80,821,923,972.38
  5. Step 5: Solve for x
    x = 80,821,923,972.38/324,000.62
  6. Step 6: Final answer
    x = 249,449.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.