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Finding the Fourth Proportional to 327,888.78, 491,567.94 and 138,226.56

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Solution

The fourth proportional to 327,888.78, 491,567.94 and 138,226.56 is: 207,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,888.78 : 491,567.94 = 138,226.56 : x
  2. Step 2: Convert to fraction form
    327,888.78/491,567.94 = 138,226.56/x
  3. Step 3: Cross multiply
    327,888.78x = 491,567.94 × 138,226.56
  4. Step 4: Simplify right side
    327,888.78x = 67,947,745,352.49
  5. Step 5: Solve for x
    x = 67,947,745,352.49/327,888.78
  6. Step 6: Final answer
    x = 207,228.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.