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Finding the Fourth Proportional to 231,854.78, 321,596.55 and 225,709.31

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Solution

The fourth proportional to 231,854.78, 321,596.55 and 225,709.31 is: 313,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,854.78 : 321,596.55 = 225,709.31 : x
  2. Step 2: Convert to fraction form
    231,854.78/321,596.55 = 225,709.31/x
  3. Step 3: Cross multiply
    231,854.78x = 321,596.55 × 225,709.31
  4. Step 4: Simplify right side
    231,854.78x = 72,587,335,476.32
  5. Step 5: Solve for x
    x = 72,587,335,476.32/231,854.78
  6. Step 6: Final answer
    x = 313,072.41

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.