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Finding the Fourth Proportional to 412,244.46, 568,768.23 and 230,931.90

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Solution

The fourth proportional to 412,244.46, 568,768.23 and 230,931.90 is: 318,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,244.46 : 568,768.23 = 230,931.90 : x
  2. Step 2: Convert to fraction form
    412,244.46/568,768.23 = 230,931.90/x
  3. Step 3: Cross multiply
    412,244.46x = 568,768.23 × 230,931.90
  4. Step 4: Simplify right side
    412,244.46x = 131,346,728,013.54
  5. Step 5: Solve for x
    x = 131,346,728,013.54/412,244.46
  6. Step 6: Final answer
    x = 318,613.69

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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.