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Finding the Fourth Proportional to 416,982.57, 625,473.86 and 101,436.75

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Solution

The fourth proportional to 416,982.57, 625,473.86 and 101,436.75 is: 152,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,982.57 : 625,473.86 = 101,436.75 : x
  2. Step 2: Convert to fraction form
    416,982.57/625,473.86 = 101,436.75/x
  3. Step 3: Cross multiply
    416,982.57x = 625,473.86 × 101,436.75
  4. Step 4: Simplify right side
    416,982.57x = 63,446,035,061.17
  5. Step 5: Solve for x
    x = 63,446,035,061.17/416,982.57
  6. Step 6: Final answer
    x = 152,155.13

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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.