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Finding the Fourth Proportional to 416,233.40, 624,350.10 and 150,002.60

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Solution

The fourth proportional to 416,233.40, 624,350.10 and 150,002.60 is: 225,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,233.40 : 624,350.10 = 150,002.60 : x
  2. Step 2: Convert to fraction form
    416,233.40/624,350.10 = 150,002.60/x
  3. Step 3: Cross multiply
    416,233.40x = 624,350.10 × 150,002.60
  4. Step 4: Simplify right side
    416,233.40x = 93,654,138,310.26
  5. Step 5: Solve for x
    x = 93,654,138,310.26/416,233.40
  6. Step 6: Final answer
    x = 225,003.90

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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.