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Finding the Fourth Proportional to 416,229.24, 574,396.38 and 225,242.64

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Solution

The fourth proportional to 416,229.24, 574,396.38 and 225,242.64 is: 310,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,229.24 : 574,396.38 = 225,242.64 : x
  2. Step 2: Convert to fraction form
    416,229.24/574,396.38 = 225,242.64/x
  3. Step 3: Cross multiply
    416,229.24x = 574,396.38 × 225,242.64
  4. Step 4: Simplify right side
    416,229.24x = 129,378,557,037.64
  5. Step 5: Solve for x
    x = 129,378,557,037.64/416,229.24
  6. Step 6: Final answer
    x = 310,834.86

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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.