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Finding the Fourth Proportional to 352,105.84, 485,968.17 and 208,944.82

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Solution

The fourth proportional to 352,105.84, 485,968.17 and 208,944.82 is: 288,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,105.84 : 485,968.17 = 208,944.82 : x
  2. Step 2: Convert to fraction form
    352,105.84/485,968.17 = 208,944.82/x
  3. Step 3: Cross multiply
    352,105.84x = 485,968.17 × 208,944.82
  4. Step 4: Simplify right side
    352,105.84x = 101,540,531,806.38
  5. Step 5: Solve for x
    x = 101,540,531,806.38/352,105.84
  6. Step 6: Final answer
    x = 288,380.71

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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.