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Finding the Fourth Proportional to 568,353.78, 784,323.20 and 313,699.50

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Solution

The fourth proportional to 568,353.78, 784,323.20 and 313,699.50 is: 432,902.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,353.78 : 784,323.20 = 313,699.50 : x
  2. Step 2: Convert to fraction form
    568,353.78/784,323.20 = 313,699.50/x
  3. Step 3: Cross multiply
    568,353.78x = 784,323.20 × 313,699.50
  4. Step 4: Simplify right side
    568,353.78x = 246,041,796,462.65
  5. Step 5: Solve for x
    x = 246,041,796,462.65/568,353.78
  6. Step 6: Final answer
    x = 432,902.54

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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.