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Finding the Fourth Proportional to 331,560.38, 457,553.39 and 180,657.38

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Solution

The fourth proportional to 331,560.38, 457,553.39 and 180,657.38 is: 249,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,560.38 : 457,553.39 = 180,657.38 : x
  2. Step 2: Convert to fraction form
    331,560.38/457,553.39 = 180,657.38/x
  3. Step 3: Cross multiply
    331,560.38x = 457,553.39 × 180,657.38
  4. Step 4: Simplify right side
    331,560.38x = 82,660,396,647.52
  5. Step 5: Solve for x
    x = 82,660,396,647.52/331,560.38
  6. Step 6: Final answer
    x = 249,307.22

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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.