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Finding the Fourth Proportional to 331,474, 457,434.20 and 180,570.96

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Solution

The fourth proportional to 331,474, 457,434.20 and 180,570.96 is: 249,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,474 : 457,434.20 = 180,570.96 : x
  2. Step 2: Convert to fraction form
    331,474/457,434.20 = 180,570.96/x
  3. Step 3: Cross multiply
    331,474x = 457,434.20 × 180,570.96
  4. Step 4: Simplify right side
    331,474x = 82,599,332,630.83
  5. Step 5: Solve for x
    x = 82,599,332,630.83/331,474
  6. Step 6: Final answer
    x = 249,187.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.