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Finding the Fourth Proportional to 329,691.63, 494,198.25 and 149,902.11

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Solution

The fourth proportional to 329,691.63, 494,198.25 and 149,902.11 is: 224,698.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,691.63 : 494,198.25 = 149,902.11 : x
  2. Step 2: Convert to fraction form
    329,691.63/494,198.25 = 149,902.11/x
  3. Step 3: Cross multiply
    329,691.63x = 494,198.25 × 149,902.11
  4. Step 4: Simplify right side
    329,691.63x = 74,081,360,433.31
  5. Step 5: Solve for x
    x = 74,081,360,433.31/329,691.63
  6. Step 6: Final answer
    x = 224,698.94

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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.