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Finding the Fourth Proportional to 299,217.97, 412,974.21 and 178,366.96

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Solution

The fourth proportional to 299,217.97, 412,974.21 and 178,366.96 is: 246,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,217.97 : 412,974.21 = 178,366.96 : x
  2. Step 2: Convert to fraction form
    299,217.97/412,974.21 = 178,366.96/x
  3. Step 3: Cross multiply
    299,217.97x = 412,974.21 × 178,366.96
  4. Step 4: Simplify right side
    299,217.97x = 73,660,954,396.10
  5. Step 5: Solve for x
    x = 73,660,954,396.10/299,217.97
  6. Step 6: Final answer
    x = 246,178.24

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1.5x scale

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.