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Finding the Fourth Proportional to 321,906.83, 444,214.82 and 191,089.97

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Solution

The fourth proportional to 321,906.83, 444,214.82 and 191,089.97 is: 263,694.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,906.83 : 444,214.82 = 191,089.97 : x
  2. Step 2: Convert to fraction form
    321,906.83/444,214.82 = 191,089.97/x
  3. Step 3: Cross multiply
    321,906.83x = 444,214.82 × 191,089.97
  4. Step 4: Simplify right side
    321,906.83x = 84,884,993,450.83
  5. Step 5: Solve for x
    x = 84,884,993,450.83/321,906.83
  6. Step 6: Final answer
    x = 263,694.30

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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.