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Finding the Fourth Proportional to 299,794.65, 413,721.72 and 178,912.49

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Solution

The fourth proportional to 299,794.65, 413,721.72 and 178,912.49 is: 246,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,794.65 : 413,721.72 = 178,912.49 : x
  2. Step 2: Convert to fraction form
    299,794.65/413,721.72 = 178,912.49/x
  3. Step 3: Cross multiply
    299,794.65x = 413,721.72 × 178,912.49
  4. Step 4: Simplify right side
    299,794.65x = 74,019,981,023.67
  5. Step 5: Solve for x
    x = 74,019,981,023.67/299,794.65
  6. Step 6: Final answer
    x = 246,902.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.