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Finding the Fourth Proportional to 296,227.36, 408,793.08 and 162,091.36

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Solution

The fourth proportional to 296,227.36, 408,793.08 and 162,091.36 is: 223,685.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,227.36 : 408,793.08 = 162,091.36 : x
  2. Step 2: Convert to fraction form
    296,227.36/408,793.08 = 162,091.36/x
  3. Step 3: Cross multiply
    296,227.36x = 408,793.08 × 162,091.36
  4. Step 4: Simplify right side
    296,227.36x = 66,261,826,295.79
  5. Step 5: Solve for x
    x = 66,261,826,295.79/296,227.36
  6. Step 6: Final answer
    x = 223,685.71

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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.