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Finding the Fourth Proportional to 295,899.92, 408,317.56 and 166,831.38

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Solution

The fourth proportional to 295,899.92, 408,317.56 and 166,831.38 is: 230,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,899.92 : 408,317.56 = 166,831.38 : x
  2. Step 2: Convert to fraction form
    295,899.92/408,317.56 = 166,831.38/x
  3. Step 3: Cross multiply
    295,899.92x = 408,317.56 × 166,831.38
  4. Step 4: Simplify right side
    295,899.92x = 68,120,181,595.95
  5. Step 5: Solve for x
    x = 68,120,181,595.95/295,899.92
  6. Step 6: Final answer
    x = 230,213.59

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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.