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Finding the Fourth Proportional to 416,601.26, 624,902.81 and 150,549.68

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Solution

The fourth proportional to 416,601.26, 624,902.81 and 150,549.68 is: 225,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,601.26 : 624,902.81 = 150,549.68 : x
  2. Step 2: Convert to fraction form
    416,601.26/624,902.81 = 150,549.68/x
  3. Step 3: Cross multiply
    416,601.26x = 624,902.81 × 150,549.68
  4. Step 4: Simplify right side
    416,601.26x = 94,078,914,199.34
  5. Step 5: Solve for x
    x = 94,078,914,199.34/416,601.26
  6. Step 6: Final answer
    x = 225,824.85

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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.