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Finding the Fourth Proportional to 568,390.97, 784,380.21 and 313,742.16

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Solution

The fourth proportional to 568,390.97, 784,380.21 and 313,742.16 is: 432,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,390.97 : 784,380.21 = 313,742.16 : x
  2. Step 2: Convert to fraction form
    568,390.97/784,380.21 = 313,742.16/x
  3. Step 3: Cross multiply
    568,390.97x = 784,380.21 × 313,742.16
  4. Step 4: Simplify right side
    568,390.97x = 246,093,140,170.12
  5. Step 5: Solve for x
    x = 246,093,140,170.12/568,390.97
  6. Step 6: Final answer
    x = 432,964.55

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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.