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Finding the Fourth Proportional to 416,244.56, 574,419.20 and 225,257.96

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Solution

The fourth proportional to 416,244.56, 574,419.20 and 225,257.96 is: 310,856.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,244.56 : 574,419.20 = 225,257.96 : x
  2. Step 2: Convert to fraction form
    416,244.56/574,419.20 = 225,257.96/x
  3. Step 3: Cross multiply
    416,244.56x = 574,419.20 × 225,257.96
  4. Step 4: Simplify right side
    416,244.56x = 129,392,493,178.45
  5. Step 5: Solve for x
    x = 129,392,493,178.45/416,244.56
  6. Step 6: Final answer
    x = 310,856.90

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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.