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Finding the Fourth Proportional to 298,584.43, 412,049.15 and 162,618.97

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Solution

The fourth proportional to 298,584.43, 412,049.15 and 162,618.97 is: 224,415.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,584.43 : 412,049.15 = 162,618.97 : x
  2. Step 2: Convert to fraction form
    298,584.43/412,049.15 = 162,618.97/x
  3. Step 3: Cross multiply
    298,584.43x = 412,049.15 × 162,618.97
  4. Step 4: Simplify right side
    298,584.43x = 67,007,007,200.05
  5. Step 5: Solve for x
    x = 67,007,007,200.05/298,584.43
  6. Step 6: Final answer
    x = 224,415.61

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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.