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Finding the Fourth Proportional to 329,414.58, 494,121.87 and 80,094.42

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Solution

The fourth proportional to 329,414.58, 494,121.87 and 80,094.42 is: 120,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,414.58 : 494,121.87 = 80,094.42 : x
  2. Step 2: Convert to fraction form
    329,414.58/494,121.87 = 80,094.42/x
  3. Step 3: Cross multiply
    329,414.58x = 494,121.87 × 80,094.42
  4. Step 4: Simplify right side
    329,414.58x = 39,576,404,586.97
  5. Step 5: Solve for x
    x = 39,576,404,586.97/329,414.58
  6. Step 6: Final answer
    x = 120,141.63

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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.