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Finding the Fourth Proportional to 412,231.96, 568,750.98 and 230,919.40

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Solution

The fourth proportional to 412,231.96, 568,750.98 and 230,919.40 is: 318,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,231.96 : 568,750.98 = 230,919.40 : x
  2. Step 2: Convert to fraction form
    412,231.96/568,750.98 = 230,919.40/x
  3. Step 3: Cross multiply
    412,231.96x = 568,750.98 × 230,919.40
  4. Step 4: Simplify right side
    412,231.96x = 131,335,635,051.01
  5. Step 5: Solve for x
    x = 131,335,635,051.01/412,231.96
  6. Step 6: Final answer
    x = 318,596.44

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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.