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Finding the Fourth Proportional to 327,820.98, 491,815.98 and 178,022.82

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Solution

The fourth proportional to 327,820.98, 491,815.98 and 178,022.82 is: 267,080.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,820.98 : 491,815.98 = 178,022.82 : x
  2. Step 2: Convert to fraction form
    327,820.98/491,815.98 = 178,022.82/x
  3. Step 3: Cross multiply
    327,820.98x = 491,815.98 × 178,022.82
  4. Step 4: Simplify right side
    327,820.98x = 87,554,467,680.66
  5. Step 5: Solve for x
    x = 87,554,467,680.66/327,820.98
  6. Step 6: Final answer
    x = 267,080.12

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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.