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Finding the Fourth Proportional to 610,839.49, 842,958.60 and 338,906.73

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Solution

The fourth proportional to 610,839.49, 842,958.60 and 338,906.73 is: 467,691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,839.49 : 842,958.60 = 338,906.73 : x
  2. Step 2: Convert to fraction form
    610,839.49/842,958.60 = 338,906.73/x
  3. Step 3: Cross multiply
    610,839.49x = 842,958.60 × 338,906.73
  4. Step 4: Simplify right side
    610,839.49x = 285,684,342,651.38
  5. Step 5: Solve for x
    x = 285,684,342,651.38/610,839.49
  6. Step 6: Final answer
    x = 467,691.35

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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.