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Finding the Fourth Proportional to 299,371.91, 413,122.95 and 178,450.85

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Solution

The fourth proportional to 299,371.91, 413,122.95 and 178,450.85 is: 246,256.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,371.91 : 413,122.95 = 178,450.85 : x
  2. Step 2: Convert to fraction form
    299,371.91/413,122.95 = 178,450.85/x
  3. Step 3: Cross multiply
    299,371.91x = 413,122.95 × 178,450.85
  4. Step 4: Simplify right side
    299,371.91x = 73,722,142,614.81
  5. Step 5: Solve for x
    x = 73,722,142,614.81/299,371.91
  6. Step 6: Final answer
    x = 246,256.05

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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.