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Finding the Fourth Proportional to 416,626.97, 624,972.86 and 136,172.57

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Solution

The fourth proportional to 416,626.97, 624,972.86 and 136,172.57 is: 204,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,626.97 : 624,972.86 = 136,172.57 : x
  2. Step 2: Convert to fraction form
    416,626.97/624,972.86 = 136,172.57/x
  3. Step 3: Cross multiply
    416,626.97x = 624,972.86 × 136,172.57
  4. Step 4: Simplify right side
    416,626.97x = 85,104,156,720.72
  5. Step 5: Solve for x
    x = 85,104,156,720.72/416,626.97
  6. Step 6: Final answer
    x = 204,269.44

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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.