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Finding the Fourth Proportional to 568,163, 784,034.06 and 313,464.44

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Solution

The fourth proportional to 568,163, 784,034.06 and 313,464.44 is: 432,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,163 : 784,034.06 = 313,464.44 : x
  2. Step 2: Convert to fraction form
    568,163/784,034.06 = 313,464.44/x
  3. Step 3: Cross multiply
    568,163x = 784,034.06 × 313,464.44
  4. Step 4: Simplify right side
    568,163x = 245,766,797,558.83
  5. Step 5: Solve for x
    x = 245,766,797,558.83/568,163
  6. Step 6: Final answer
    x = 432,563.89

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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.