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Finding the Fourth Proportional to 416,500.32, 574,771.20 and 225,515.52

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Solution

The fourth proportional to 416,500.32, 574,771.20 and 225,515.52 is: 311,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,500.32 : 574,771.20 = 225,515.52 : x
  2. Step 2: Convert to fraction form
    416,500.32/574,771.20 = 225,515.52/x
  3. Step 3: Cross multiply
    416,500.32x = 574,771.20 × 225,515.52
  4. Step 4: Simplify right side
    416,500.32x = 129,619,826,049.02
  5. Step 5: Solve for x
    x = 129,619,826,049.02/416,500.32
  6. Step 6: Final answer
    x = 311,211.83

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