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Finding the Fourth Proportional to 412,234.34, 568,754.26 and 230,921.78

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Solution

The fourth proportional to 412,234.34, 568,754.26 and 230,921.78 is: 318,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,234.34 : 568,754.26 = 230,921.78 : x
  2. Step 2: Convert to fraction form
    412,234.34/568,754.26 = 230,921.78/x
  3. Step 3: Cross multiply
    412,234.34x = 568,754.26 × 230,921.78
  4. Step 4: Simplify right side
    412,234.34x = 131,337,742,680.71
  5. Step 5: Solve for x
    x = 131,337,742,680.71/412,234.34
  6. Step 6: Final answer
    x = 318,599.72

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Why These Related Problems?

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