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Finding the Fourth Proportional to 412,137.95, 568,743.66 and 230,849.42

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Solution

The fourth proportional to 412,137.95, 568,743.66 and 230,849.42 is: 318,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,137.95 : 568,743.66 = 230,849.42 : x
  2. Step 2: Convert to fraction form
    412,137.95/568,743.66 = 230,849.42/x
  3. Step 3: Cross multiply
    412,137.95x = 568,743.66 × 230,849.42
  4. Step 4: Simplify right side
    412,137.95x = 131,294,141,195.96
  5. Step 5: Solve for x
    x = 131,294,141,195.96/412,137.95
  6. Step 6: Final answer
    x = 318,568.44

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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.