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Finding the Fourth Proportional to 320,493.41, 442,417.09 and 199,694.38

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Solution

The fourth proportional to 320,493.41, 442,417.09 and 199,694.38 is: 275,663.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,493.41 : 442,417.09 = 199,694.38 : x
  2. Step 2: Convert to fraction form
    320,493.41/442,417.09 = 199,694.38/x
  3. Step 3: Cross multiply
    320,493.41x = 442,417.09 × 199,694.38
  4. Step 4: Simplify right side
    320,493.41x = 88,348,206,542.74
  5. Step 5: Solve for x
    x = 88,348,206,542.74/320,493.41
  6. Step 6: Final answer
    x = 275,663.10

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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.