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Finding the Fourth Proportional to 295,684, 408,043.92 and 161,548.96

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Solution

The fourth proportional to 295,684, 408,043.92 and 161,548.96 is: 222,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,684 : 408,043.92 = 161,548.96 : x
  2. Step 2: Convert to fraction form
    295,684/408,043.92 = 161,548.96/x
  3. Step 3: Cross multiply
    295,684x = 408,043.92 × 161,548.96
  4. Step 4: Simplify right side
    295,684x = 65,919,070,910.32
  5. Step 5: Solve for x
    x = 65,919,070,910.32/295,684
  6. Step 6: Final answer
    x = 222,937.56

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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.