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Finding the Fourth Proportional to 543,676.20, 814,712.40 and 394,231.20

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Solution

The fourth proportional to 543,676.20, 814,712.40 and 394,231.20 is: 590,765.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,676.20 : 814,712.40 = 394,231.20 : x
  2. Step 2: Convert to fraction form
    543,676.20/814,712.40 = 394,231.20/x
  3. Step 3: Cross multiply
    543,676.20x = 814,712.40 × 394,231.20
  4. Step 4: Simplify right side
    543,676.20x = 321,185,047,106.88
  5. Step 5: Solve for x
    x = 321,185,047,106.88/543,676.20
  6. Step 6: Final answer
    x = 590,765.33

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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.