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Finding the Fourth Proportional to 568,315.14, 784,273.28 and 313,664.50

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Solution

The fourth proportional to 568,315.14, 784,273.28 and 313,664.50 is: 432,856.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,315.14 : 784,273.28 = 313,664.50 : x
  2. Step 2: Convert to fraction form
    568,315.14/784,273.28 = 313,664.50/x
  3. Step 3: Cross multiply
    568,315.14x = 784,273.28 × 313,664.50
  4. Step 4: Simplify right side
    568,315.14x = 245,998,686,234.56
  5. Step 5: Solve for x
    x = 245,998,686,234.56/568,315.14
  6. Step 6: Final answer
    x = 432,856.12

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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.