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Finding the Fourth Proportional to 306,067.96, 422,325.52 and 176,958.42

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Solution

The fourth proportional to 306,067.96, 422,325.52 and 176,958.42 is: 244,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,067.96 : 422,325.52 = 176,958.42 : x
  2. Step 2: Convert to fraction form
    306,067.96/422,325.52 = 176,958.42/x
  3. Step 3: Cross multiply
    306,067.96x = 422,325.52 × 176,958.42
  4. Step 4: Simplify right side
    306,067.96x = 74,734,056,744.88
  5. Step 5: Solve for x
    x = 74,734,056,744.88/306,067.96
  6. Step 6: Final answer
    x = 244,174.71

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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.