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Finding the Fourth Proportional to 295,921.38, 408,374.49 and 159,957.96

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Solution

The fourth proportional to 295,921.38, 408,374.49 and 159,957.96 is: 220,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,921.38 : 408,374.49 = 159,957.96 : x
  2. Step 2: Convert to fraction form
    295,921.38/408,374.49 = 159,957.96/x
  3. Step 3: Cross multiply
    295,921.38x = 408,374.49 × 159,957.96
  4. Step 4: Simplify right side
    295,921.38x = 65,322,750,336.44
  5. Step 5: Solve for x
    x = 65,322,750,336.44/295,921.38
  6. Step 6: Final answer
    x = 220,743.60

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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.