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Finding the Fourth Proportional to 296,086.43, 408,594.17 and 167,025.17

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Solution

The fourth proportional to 296,086.43, 408,594.17 and 167,025.17 is: 230,491.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,086.43 : 408,594.17 = 167,025.17 : x
  2. Step 2: Convert to fraction form
    296,086.43/408,594.17 = 167,025.17/x
  3. Step 3: Cross multiply
    296,086.43x = 408,594.17 × 167,025.17
  4. Step 4: Simplify right side
    296,086.43x = 68,245,512,144.31
  5. Step 5: Solve for x
    x = 68,245,512,144.31/296,086.43
  6. Step 6: Final answer
    x = 230,491.86

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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.