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Finding the Fourth Proportional to 299,414.34, 413,177.28 and 170,340.66

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Solution

The fourth proportional to 299,414.34, 413,177.28 and 170,340.66 is: 235,061.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,414.34 : 413,177.28 = 170,340.66 : x
  2. Step 2: Convert to fraction form
    299,414.34/413,177.28 = 170,340.66/x
  3. Step 3: Cross multiply
    299,414.34x = 413,177.28 × 170,340.66
  4. Step 4: Simplify right side
    299,414.34x = 70,380,890,572.20
  5. Step 5: Solve for x
    x = 70,380,890,572.20/299,414.34
  6. Step 6: Final answer
    x = 235,061.86

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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.