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Finding the Fourth Proportional to 412,197.82, 568,823.07 and 230,917.39

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Solution

The fourth proportional to 412,197.82, 568,823.07 and 230,917.39 is: 318,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,197.82 : 568,823.07 = 230,917.39 : x
  2. Step 2: Convert to fraction form
    412,197.82/568,823.07 = 230,917.39/x
  3. Step 3: Cross multiply
    412,197.82x = 568,823.07 × 230,917.39
  4. Step 4: Simplify right side
    412,197.82x = 131,351,138,140.07
  5. Step 5: Solve for x
    x = 131,351,138,140.07/412,197.82
  6. Step 6: Final answer
    x = 318,660.44

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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.