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Finding the Fourth Proportional to 321,810.74, 444,184.97 and 200,879.19

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Solution

The fourth proportional to 321,810.74, 444,184.97 and 200,879.19 is: 277,267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,810.74 : 444,184.97 = 200,879.19 : x
  2. Step 2: Convert to fraction form
    321,810.74/444,184.97 = 200,879.19/x
  3. Step 3: Cross multiply
    321,810.74x = 444,184.97 × 200,879.19
  4. Step 4: Simplify right side
    321,810.74x = 89,227,515,979.38
  5. Step 5: Solve for x
    x = 89,227,515,979.38/321,810.74
  6. Step 6: Final answer
    x = 277,267.06

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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.