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Finding the Fourth Proportional to 298,385.39, 411,806.96 and 167,584.56

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Solution

The fourth proportional to 298,385.39, 411,806.96 and 167,584.56 is: 231,286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,385.39 : 411,806.96 = 167,584.56 : x
  2. Step 2: Convert to fraction form
    298,385.39/411,806.96 = 167,584.56/x
  3. Step 3: Cross multiply
    298,385.39x = 411,806.96 × 167,584.56
  4. Step 4: Simplify right side
    298,385.39x = 69,012,488,196.54
  5. Step 5: Solve for x
    x = 69,012,488,196.54/298,385.39
  6. Step 6: Final answer
    x = 231,286.42

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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.