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Finding the Fourth Proportional to 295,958.71, 408,443.87 and 166,908.73

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Solution

The fourth proportional to 295,958.71, 408,443.87 and 166,908.73 is: 230,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,958.71 : 408,443.87 = 166,908.73 : x
  2. Step 2: Convert to fraction form
    295,958.71/408,443.87 = 166,908.73/x
  3. Step 3: Cross multiply
    295,958.71x = 408,443.87 × 166,908.73
  4. Step 4: Simplify right side
    295,958.71x = 68,172,847,617.99
  5. Step 5: Solve for x
    x = 68,172,847,617.99/295,958.71
  6. Step 6: Final answer
    x = 230,345.81

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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.