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Finding the Fourth Proportional to 322,929.20, 484,175.10 and 165,027.80

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Solution

The fourth proportional to 322,929.20, 484,175.10 and 165,027.80 is: 247,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,929.20 : 484,175.10 = 165,027.80 : x
  2. Step 2: Convert to fraction form
    322,929.20/484,175.10 = 165,027.80/x
  3. Step 3: Cross multiply
    322,929.20x = 484,175.10 × 165,027.80
  4. Step 4: Simplify right side
    322,929.20x = 79,902,351,567.78
  5. Step 5: Solve for x
    x = 79,902,351,567.78/322,929.20
  6. Step 6: Final answer
    x = 247,429.94

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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.