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Finding the Fourth Proportional to 412,245.96, 568,770.30 and 230,933.40

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Solution

The fourth proportional to 412,245.96, 568,770.30 and 230,933.40 is: 318,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,245.96 : 568,770.30 = 230,933.40 : x
  2. Step 2: Convert to fraction form
    412,245.96/568,770.30 = 230,933.40/x
  3. Step 3: Cross multiply
    412,245.96x = 568,770.30 × 230,933.40
  4. Step 4: Simplify right side
    412,245.96x = 131,348,059,198.02
  5. Step 5: Solve for x
    x = 131,348,059,198.02/412,245.96
  6. Step 6: Final answer
    x = 318,615.76

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1.5x scale

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.