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Finding the Fourth Proportional to 329,635.72, 494,453.56 and 119,224.44

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Solution

The fourth proportional to 329,635.72, 494,453.56 and 119,224.44 is: 178,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,635.72 : 494,453.56 = 119,224.44 : x
  2. Step 2: Convert to fraction form
    329,635.72/494,453.56 = 119,224.44/x
  3. Step 3: Cross multiply
    329,635.72x = 494,453.56 × 119,224.44
  4. Step 4: Simplify right side
    329,635.72x = 58,950,948,797.01
  5. Step 5: Solve for x
    x = 58,950,948,797.01/329,635.72
  6. Step 6: Final answer
    x = 178,836.65

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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.