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Finding the Fourth Proportional to 329,626.78, 494,146.92 and 119,217.94

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Solution

The fourth proportional to 329,626.78, 494,146.92 and 119,217.94 is: 178,720.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,626.78 : 494,146.92 = 119,217.94 : x
  2. Step 2: Convert to fraction form
    329,626.78/494,146.92 = 119,217.94/x
  3. Step 3: Cross multiply
    329,626.78x = 494,146.92 × 119,217.94
  4. Step 4: Simplify right side
    329,626.78x = 58,911,177,859.74
  5. Step 5: Solve for x
    x = 58,911,177,859.74/329,626.78
  6. Step 6: Final answer
    x = 178,720.85

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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.