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Finding the Fourth Proportional to 331,171, 457,016.04 and 180,268

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Solution

The fourth proportional to 331,171, 457,016.04 and 180,268 is: 248,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,171 : 457,016.04 = 180,268 : x
  2. Step 2: Convert to fraction form
    331,171/457,016.04 = 180,268/x
  3. Step 3: Cross multiply
    331,171x = 457,016.04 × 180,268
  4. Step 4: Simplify right side
    331,171x = 82,385,367,498.72
  5. Step 5: Solve for x
    x = 82,385,367,498.72/331,171
  6. Step 6: Final answer
    x = 248,769.87

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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.