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Finding the Fourth Proportional to 416,198.52, 574,353 and 225,211.80

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Solution

The fourth proportional to 416,198.52, 574,353 and 225,211.80 is: 310,791.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,198.52 : 574,353 = 225,211.80 : x
  2. Step 2: Convert to fraction form
    416,198.52/574,353 = 225,211.80/x
  3. Step 3: Cross multiply
    416,198.52x = 574,353 × 225,211.80
  4. Step 4: Simplify right side
    416,198.52x = 129,351,072,965.40
  5. Step 5: Solve for x
    x = 129,351,072,965.40/416,198.52
  6. Step 6: Final answer
    x = 310,791.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.