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Finding the Fourth Proportional to 416,234.10, 624,351.15 and 150,003.30

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Solution

The fourth proportional to 416,234.10, 624,351.15 and 150,003.30 is: 225,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,234.10 : 624,351.15 = 150,003.30 : x
  2. Step 2: Convert to fraction form
    416,234.10/624,351.15 = 150,003.30/x
  3. Step 3: Cross multiply
    416,234.10x = 624,351.15 × 150,003.30
  4. Step 4: Simplify right side
    416,234.10x = 93,654,732,858.80
  5. Step 5: Solve for x
    x = 93,654,732,858.80/416,234.10
  6. Step 6: Final answer
    x = 225,004.95

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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.