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Finding the Fourth Proportional to 295,956.71, 408,441.11 and 166,906.73

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Solution

The fourth proportional to 295,956.71, 408,441.11 and 166,906.73 is: 230,343.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,956.71 : 408,441.11 = 166,906.73 : x
  2. Step 2: Convert to fraction form
    295,956.71/408,441.11 = 166,906.73/x
  3. Step 3: Cross multiply
    295,956.71x = 408,441.11 × 166,906.73
  4. Step 4: Simplify right side
    295,956.71x = 68,171,570,067.67
  5. Step 5: Solve for x
    x = 68,171,570,067.67/295,956.71
  6. Step 6: Final answer
    x = 230,343.05

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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.