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Finding the Fourth Proportional to 496,391.82, 744,797.74 and 271,489.70

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Solution

The fourth proportional to 496,391.82, 744,797.74 and 271,489.70 is: 407,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,391.82 : 744,797.74 = 271,489.70 : x
  2. Step 2: Convert to fraction form
    496,391.82/744,797.74 = 271,489.70/x
  3. Step 3: Cross multiply
    496,391.82x = 744,797.74 × 271,489.70
  4. Step 4: Simplify right side
    496,391.82x = 202,204,914,993.28
  5. Step 5: Solve for x
    x = 202,204,914,993.28/496,391.82
  6. Step 6: Final answer
    x = 407,349.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.