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Finding the Fourth Proportional to 322,926.20, 484,170.60 and 165,024.80

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Solution

The fourth proportional to 322,926.20, 484,170.60 and 165,024.80 is: 247,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,926.20 : 484,170.60 = 165,024.80 : x
  2. Step 2: Convert to fraction form
    322,926.20/484,170.60 = 165,024.80/x
  3. Step 3: Cross multiply
    322,926.20x = 484,170.60 × 165,024.80
  4. Step 4: Simplify right side
    322,926.20x = 79,900,156,430.88
  5. Step 5: Solve for x
    x = 79,900,156,430.88/322,926.20
  6. Step 6: Final answer
    x = 247,425.44

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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.