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Finding the Fourth Proportional to 331,732.26, 457,790.54 and 180,829.26

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Solution

The fourth proportional to 331,732.26, 457,790.54 and 180,829.26 is: 249,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,732.26 : 457,790.54 = 180,829.26 : x
  2. Step 2: Convert to fraction form
    331,732.26/457,790.54 = 180,829.26/x
  3. Step 3: Cross multiply
    331,732.26x = 457,790.54 × 180,829.26
  4. Step 4: Simplify right side
    331,732.26x = 82,781,923,679.05
  5. Step 5: Solve for x
    x = 82,781,923,679.05/331,732.26
  6. Step 6: Final answer
    x = 249,544.39

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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.