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Finding the Fourth Proportional to 329,632.72, 494,449.06 and 119,221.44

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Solution

The fourth proportional to 329,632.72, 494,449.06 and 119,221.44 is: 178,832.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,632.72 : 494,449.06 = 119,221.44 : x
  2. Step 2: Convert to fraction form
    329,632.72/494,449.06 = 119,221.44/x
  3. Step 3: Cross multiply
    329,632.72x = 494,449.06 × 119,221.44
  4. Step 4: Simplify right side
    329,632.72x = 58,948,928,939.85
  5. Step 5: Solve for x
    x = 58,948,928,939.85/329,632.72
  6. Step 6: Final answer
    x = 178,832.15

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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.