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Finding the Fourth Proportional to 412,266.98, 568,951.82 and 231,037.34

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Solution

The fourth proportional to 412,266.98, 568,951.82 and 231,037.34 is: 318,844.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,266.98 : 568,951.82 = 231,037.34 : x
  2. Step 2: Convert to fraction form
    412,266.98/568,951.82 = 231,037.34/x
  3. Step 3: Cross multiply
    412,266.98x = 568,951.82 × 231,037.34
  4. Step 4: Simplify right side
    412,266.98x = 131,449,115,080.96
  5. Step 5: Solve for x
    x = 131,449,115,080.96/412,266.98
  6. Step 6: Final answer
    x = 318,844.64

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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.