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Finding the Fourth Proportional to 327,822.98, 491,818.98 and 178,024.82

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Solution

The fourth proportional to 327,822.98, 491,818.98 and 178,024.82 is: 267,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,822.98 : 491,818.98 = 178,024.82 : x
  2. Step 2: Convert to fraction form
    327,822.98/491,818.98 = 178,024.82/x
  3. Step 3: Cross multiply
    327,822.98x = 491,818.98 × 178,024.82
  4. Step 4: Simplify right side
    327,822.98x = 87,555,985,387.08
  5. Step 5: Solve for x
    x = 87,555,985,387.08/327,822.98
  6. Step 6: Final answer
    x = 267,083.12

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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.