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Finding the Fourth Proportional to 543,676.70, 814,713.15 and 394,231.70

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Solution

The fourth proportional to 543,676.70, 814,713.15 and 394,231.70 is: 590,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,676.70 : 814,713.15 = 394,231.70 : x
  2. Step 2: Convert to fraction form
    543,676.70/814,713.15 = 394,231.70/x
  3. Step 3: Cross multiply
    543,676.70x = 814,713.15 × 394,231.70
  4. Step 4: Simplify right side
    543,676.70x = 321,185,750,136.86
  5. Step 5: Solve for x
    x = 321,185,750,136.86/543,676.70
  6. Step 6: Final answer
    x = 590,766.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.