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Finding the Fourth Proportional to 410,720.85, 616,245.30 and 174,229.61

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Solution

The fourth proportional to 410,720.85, 616,245.30 and 174,229.61 is: 261,413.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,720.85 : 616,245.30 = 174,229.61 : x
  2. Step 2: Convert to fraction form
    410,720.85/616,245.30 = 174,229.61/x
  3. Step 3: Cross multiply
    410,720.85x = 616,245.30 × 174,229.61
  4. Step 4: Simplify right side
    410,720.85x = 107,368,175,202.11
  5. Step 5: Solve for x
    x = 107,368,175,202.11/410,720.85
  6. Step 6: Final answer
    x = 261,413.99

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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.