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Finding the Fourth Proportional to 500,560.89, 690,791.28 and 274,206.39

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Solution

The fourth proportional to 500,560.89, 690,791.28 and 274,206.39 is: 378,414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,560.89 : 690,791.28 = 274,206.39 : x
  2. Step 2: Convert to fraction form
    500,560.89/690,791.28 = 274,206.39/x
  3. Step 3: Cross multiply
    500,560.89x = 690,791.28 × 274,206.39
  4. Step 4: Simplify right side
    500,560.89x = 189,419,383,132.28
  5. Step 5: Solve for x
    x = 189,419,383,132.28/500,560.89
  6. Step 6: Final answer
    x = 378,414.27

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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.