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Finding the Fourth Proportional to 416,016.20, 574,099.65 and 225,025.49

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Solution

The fourth proportional to 416,016.20, 574,099.65 and 225,025.49 is: 310,533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,016.20 : 574,099.65 = 225,025.49 : x
  2. Step 2: Convert to fraction form
    416,016.20/574,099.65 = 225,025.49/x
  3. Step 3: Cross multiply
    416,016.20x = 574,099.65 × 225,025.49
  4. Step 4: Simplify right side
    416,016.20x = 129,187,056,485.33
  5. Step 5: Solve for x
    x = 129,187,056,485.33/416,016.20
  6. Step 6: Final answer
    x = 310,533.71

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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.