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Finding the Fourth Proportional to 416,635.52, 624,954.12 and 150,583.92

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Solution

The fourth proportional to 416,635.52, 624,954.12 and 150,583.92 is: 225,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,635.52 : 624,954.12 = 150,583.92 : x
  2. Step 2: Convert to fraction form
    416,635.52/624,954.12 = 150,583.92/x
  3. Step 3: Cross multiply
    416,635.52x = 624,954.12 × 150,583.92
  4. Step 4: Simplify right side
    416,635.52x = 94,108,041,209.75
  5. Step 5: Solve for x
    x = 94,108,041,209.75/416,635.52
  6. Step 6: Final answer
    x = 225,876.18

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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.