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Finding the Fourth Proportional to 327,458.64, 451,651.11 and 225,516.48

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Solution

The fourth proportional to 327,458.64, 451,651.11 and 225,516.48 is: 311,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,458.64 : 451,651.11 = 225,516.48 : x
  2. Step 2: Convert to fraction form
    327,458.64/451,651.11 = 225,516.48/x
  3. Step 3: Cross multiply
    327,458.64x = 451,651.11 × 225,516.48
  4. Step 4: Simplify right side
    327,458.64x = 101,854,768,515.29
  5. Step 5: Solve for x
    x = 101,854,768,515.29/327,458.64
  6. Step 6: Final answer
    x = 311,046.21

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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.