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Finding the Fourth Proportional to 568,414.54, 784,412.23 and 313,765.73

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Solution

The fourth proportional to 568,414.54, 784,412.23 and 313,765.73 is: 432,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,414.54 : 784,412.23 = 313,765.73 : x
  2. Step 2: Convert to fraction form
    568,414.54/784,412.23 = 313,765.73/x
  3. Step 3: Cross multiply
    568,414.54x = 784,412.23 × 313,765.73
  4. Step 4: Simplify right side
    568,414.54x = 246,121,675,966.88
  5. Step 5: Solve for x
    x = 246,121,675,966.88/568,414.54
  6. Step 6: Final answer
    x = 432,996.80

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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.