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Finding the Fourth Proportional to 568,344.60, 784,314.06 and 313,694.04

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Solution

The fourth proportional to 568,344.60, 784,314.06 and 313,694.04 is: 432,896.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,344.60 : 784,314.06 = 313,694.04 : x
  2. Step 2: Convert to fraction form
    568,344.60/784,314.06 = 313,694.04/x
  3. Step 3: Cross multiply
    568,344.60x = 784,314.06 × 313,694.04
  4. Step 4: Simplify right side
    568,344.60x = 246,034,646,110.20
  5. Step 5: Solve for x
    x = 246,034,646,110.20/568,344.60
  6. Step 6: Final answer
    x = 432,896.95

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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.