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Finding the Fourth Proportional to 568,468.88, 784,489.56 and 313,822.16

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Solution

The fourth proportional to 568,468.88, 784,489.56 and 313,822.16 is: 433,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,468.88 : 784,489.56 = 313,822.16 : x
  2. Step 2: Convert to fraction form
    568,468.88/784,489.56 = 313,822.16/x
  3. Step 3: Cross multiply
    568,468.88x = 784,489.56 × 313,822.16
  4. Step 4: Simplify right side
    568,468.88x = 246,190,208,216.65
  5. Step 5: Solve for x
    x = 246,190,208,216.65/568,468.88
  6. Step 6: Final answer
    x = 433,075.96

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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.