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Finding the Fourth Proportional to 321,906, 444,230.28 and 208,729.56

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Solution

The fourth proportional to 321,906, 444,230.28 and 208,729.56 is: 288,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,906 : 444,230.28 = 208,729.56 : x
  2. Step 2: Convert to fraction form
    321,906/444,230.28 = 208,729.56/x
  3. Step 3: Cross multiply
    321,906x = 444,230.28 × 208,729.56
  4. Step 4: Simplify right side
    321,906x = 92,723,990,883.08
  5. Step 5: Solve for x
    x = 92,723,990,883.08/321,906
  6. Step 6: Final answer
    x = 288,046.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.