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Finding the Fourth Proportional to 412,138.95, 568,745.04 and 230,850.42

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Solution

The fourth proportional to 412,138.95, 568,745.04 and 230,850.42 is: 318,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,138.95 : 568,745.04 = 230,850.42 : x
  2. Step 2: Convert to fraction form
    412,138.95/568,745.04 = 230,850.42/x
  3. Step 3: Cross multiply
    412,138.95x = 568,745.04 × 230,850.42
  4. Step 4: Simplify right side
    412,138.95x = 131,295,031,356.92
  5. Step 5: Solve for x
    x = 131,295,031,356.92/412,138.95
  6. Step 6: Final answer
    x = 318,569.82

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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.