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Finding the Fourth Proportional to 500,836.60, 691,150.54 and 274,481.56

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Solution

The fourth proportional to 500,836.60, 691,150.54 and 274,481.56 is: 378,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,836.60 : 691,150.54 = 274,481.56 : x
  2. Step 2: Convert to fraction form
    500,836.60/691,150.54 = 274,481.56/x
  3. Step 3: Cross multiply
    500,836.60x = 691,150.54 × 274,481.56
  4. Step 4: Simplify right side
    500,836.60x = 189,708,078,414.04
  5. Step 5: Solve for x
    x = 189,708,078,414.04/500,836.60
  6. Step 6: Final answer
    x = 378,782.38

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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.