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Finding the Fourth Proportional to 568,318.14, 784,277.42 and 313,667.50

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Solution

The fourth proportional to 568,318.14, 784,277.42 and 313,667.50 is: 432,860.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,318.14 : 784,277.42 = 313,667.50 : x
  2. Step 2: Convert to fraction form
    568,318.14/784,277.42 = 313,667.50/x
  3. Step 3: Cross multiply
    568,318.14x = 784,277.42 × 313,667.50
  4. Step 4: Simplify right side
    568,318.14x = 246,002,337,637.85
  5. Step 5: Solve for x
    x = 246,002,337,637.85/568,318.14
  6. Step 6: Final answer
    x = 432,860.26

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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.