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Finding the Fourth Proportional to 500,940.25, 691,299.92 and 271,497.47

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Solution

The fourth proportional to 500,940.25, 691,299.92 and 271,497.47 is: 374,667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,940.25 : 691,299.92 = 271,497.47 : x
  2. Step 2: Convert to fraction form
    500,940.25/691,299.92 = 271,497.47/x
  3. Step 3: Cross multiply
    500,940.25x = 691,299.92 × 271,497.47
  4. Step 4: Simplify right side
    500,940.25x = 187,686,176,513.45
  5. Step 5: Solve for x
    x = 187,686,176,513.45/500,940.25
  6. Step 6: Final answer
    x = 374,667.79

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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.