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Finding the Fourth Proportional to 322,639.14, 484,057.17 and 164,978.34

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Solution

The fourth proportional to 322,639.14, 484,057.17 and 164,978.34 is: 247,517.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,639.14 : 484,057.17 = 164,978.34 : x
  2. Step 2: Convert to fraction form
    322,639.14/484,057.17 = 164,978.34/x
  3. Step 3: Cross multiply
    322,639.14x = 484,057.17 × 164,978.34
  4. Step 4: Simplify right side
    322,639.14x = 79,858,948,371.70
  5. Step 5: Solve for x
    x = 79,858,948,371.70/322,639.14
  6. Step 6: Final answer
    x = 247,517.86

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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.