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Finding the Fourth Proportional to 331,863.80, 457,971.89 and 180,960.80

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Solution

The fourth proportional to 331,863.80, 457,971.89 and 180,960.80 is: 249,725.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,863.80 : 457,971.89 = 180,960.80 : x
  2. Step 2: Convert to fraction form
    331,863.80/457,971.89 = 180,960.80/x
  3. Step 3: Cross multiply
    331,863.80x = 457,971.89 × 180,960.80
  4. Step 4: Simplify right side
    331,863.80x = 82,874,956,397.25
  5. Step 5: Solve for x
    x = 82,874,956,397.25/331,863.80
  6. Step 6: Final answer
    x = 249,725.81

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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.