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Finding the Fourth Proportional to 322,906.60, 484,359.90 and 165,442.60

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Solution

The fourth proportional to 322,906.60, 484,359.90 and 165,442.60 is: 248,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,906.60 : 484,359.90 = 165,442.60 : x
  2. Step 2: Convert to fraction form
    322,906.60/484,359.90 = 165,442.60/x
  3. Step 3: Cross multiply
    322,906.60x = 484,359.90 × 165,442.60
  4. Step 4: Simplify right side
    322,906.60x = 80,133,761,191.74
  5. Step 5: Solve for x
    x = 80,133,761,191.74/322,906.60
  6. Step 6: Final answer
    x = 248,163.90

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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.