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Finding the Fourth Proportional to 274,624.32, 412,202.44 and 132,569.32

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Solution

The fourth proportional to 274,624.32, 412,202.44 and 132,569.32 is: 198,982.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,624.32 : 412,202.44 = 132,569.32 : x
  2. Step 2: Convert to fraction form
    274,624.32/412,202.44 = 132,569.32/x
  3. Step 3: Cross multiply
    274,624.32x = 412,202.44 × 132,569.32
  4. Step 4: Simplify right side
    274,624.32x = 54,645,397,173.14
  5. Step 5: Solve for x
    x = 54,645,397,173.14/274,624.32
  6. Step 6: Final answer
    x = 198,982.37

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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.