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Finding the Fourth Proportional to 322,922.20, 484,164.60 and 165,020.80

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Solution

The fourth proportional to 322,922.20, 484,164.60 and 165,020.80 is: 247,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,922.20 : 484,164.60 = 165,020.80 : x
  2. Step 2: Convert to fraction form
    322,922.20/484,164.60 = 165,020.80/x
  3. Step 3: Cross multiply
    322,922.20x = 484,164.60 × 165,020.80
  4. Step 4: Simplify right side
    322,922.20x = 79,897,229,623.68
  5. Step 5: Solve for x
    x = 79,897,229,623.68/322,922.20
  6. Step 6: Final answer
    x = 247,419.44

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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.