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Finding the Fourth Proportional to 327,634.82, 491,662.14 and 159,063.30

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Solution

The fourth proportional to 327,634.82, 491,662.14 and 159,063.30 is: 238,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,634.82 : 491,662.14 = 159,063.30 : x
  2. Step 2: Convert to fraction form
    327,634.82/491,662.14 = 159,063.30/x
  3. Step 3: Cross multiply
    327,634.82x = 491,662.14 × 159,063.30
  4. Step 4: Simplify right side
    327,634.82x = 78,205,402,473.46
  5. Step 5: Solve for x
    x = 78,205,402,473.46/327,634.82
  6. Step 6: Final answer
    x = 238,696.86

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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.