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Finding the Fourth Proportional to 416,229.64, 574,396.90 and 225,243.02

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Solution

The fourth proportional to 416,229.64, 574,396.90 and 225,243.02 is: 310,835.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,229.64 : 574,396.90 = 225,243.02 : x
  2. Step 2: Convert to fraction form
    416,229.64/574,396.90 = 225,243.02/x
  3. Step 3: Cross multiply
    416,229.64x = 574,396.90 × 225,243.02
  4. Step 4: Simplify right side
    416,229.64x = 129,378,892,434.64
  5. Step 5: Solve for x
    x = 129,378,892,434.64/416,229.64
  6. Step 6: Final answer
    x = 310,835.37

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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.