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Finding the Fourth Proportional to 322,929.70, 484,175.85 and 165,028.30

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Solution

The fourth proportional to 322,929.70, 484,175.85 and 165,028.30 is: 247,430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,929.70 : 484,175.85 = 165,028.30 : x
  2. Step 2: Convert to fraction form
    322,929.70/484,175.85 = 165,028.30/x
  3. Step 3: Cross multiply
    322,929.70x = 484,175.85 × 165,028.30
  4. Step 4: Simplify right side
    322,929.70x = 79,902,717,426.56
  5. Step 5: Solve for x
    x = 79,902,717,426.56/322,929.70
  6. Step 6: Final answer
    x = 247,430.69

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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.