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Finding the Fourth Proportional to 341,227.75, 470,892.97 and 188,275.46

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Solution

The fourth proportional to 341,227.75, 470,892.97 and 188,275.46 is: 259,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,227.75 : 470,892.97 = 188,275.46 : x
  2. Step 2: Convert to fraction form
    341,227.75/470,892.97 = 188,275.46/x
  3. Step 3: Cross multiply
    341,227.75x = 470,892.97 × 188,275.46
  4. Step 4: Simplify right side
    341,227.75x = 88,657,591,067.17
  5. Step 5: Solve for x
    x = 88,657,591,067.17/341,227.75
  6. Step 6: Final answer
    x = 259,819.41

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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.