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Finding the Fourth Proportional to 297,648.92, 410,591.91 and 188,553.47

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Solution

The fourth proportional to 297,648.92, 410,591.91 and 188,553.47 is: 260,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,648.92 : 410,591.91 = 188,553.47 : x
  2. Step 2: Convert to fraction form
    297,648.92/410,591.91 = 188,553.47/x
  3. Step 3: Cross multiply
    297,648.92x = 410,591.91 × 188,553.47
  4. Step 4: Simplify right side
    297,648.92x = 77,418,527,331.47
  5. Step 5: Solve for x
    x = 77,418,527,331.47/297,648.92
  6. Step 6: Final answer
    x = 260,100.14

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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.