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Finding the Fourth Proportional to 295,640.64, 408,016.50 and 168,295.68

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Solution

The fourth proportional to 295,640.64, 408,016.50 and 168,295.68 is: 232,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,640.64 : 408,016.50 = 168,295.68 : x
  2. Step 2: Convert to fraction form
    295,640.64/408,016.50 = 168,295.68/x
  3. Step 3: Cross multiply
    295,640.64x = 408,016.50 × 168,295.68
  4. Step 4: Simplify right side
    295,640.64x = 68,667,414,318.72
  5. Step 5: Solve for x
    x = 68,667,414,318.72/295,640.64
  6. Step 6: Final answer
    x = 232,266.49

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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.