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Finding the Fourth Proportional to 416,500.80, 624,745.68 and 100,960.48

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Solution

The fourth proportional to 416,500.80, 624,745.68 and 100,960.48 is: 151,439.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,500.80 : 624,745.68 = 100,960.48 : x
  2. Step 2: Convert to fraction form
    416,500.80/624,745.68 = 100,960.48/x
  3. Step 3: Cross multiply
    416,500.80x = 624,745.68 × 100,960.48
  4. Step 4: Simplify right side
    416,500.80x = 63,074,623,730.73
  5. Step 5: Solve for x
    x = 63,074,623,730.73/416,500.80
  6. Step 6: Final answer
    x = 151,439.38

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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.