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Finding the Fourth Proportional to 329,532.85, 494,121.43 and 149,520.04

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Solution

The fourth proportional to 329,532.85, 494,121.43 and 149,520.04 is: 224,199.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,532.85 : 494,121.43 = 149,520.04 : x
  2. Step 2: Convert to fraction form
    329,532.85/494,121.43 = 149,520.04/x
  3. Step 3: Cross multiply
    329,532.85x = 494,121.43 × 149,520.04
  4. Step 4: Simplify right side
    329,532.85x = 73,881,057,752.20
  5. Step 5: Solve for x
    x = 73,881,057,752.20/329,532.85
  6. Step 6: Final answer
    x = 224,199.37

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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.