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Finding the Fourth Proportional to 568,362.12, 784,339.80 and 313,713.38

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Solution

The fourth proportional to 568,362.12, 784,339.80 and 313,713.38 is: 432,924.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,362.12 : 784,339.80 = 313,713.38 : x
  2. Step 2: Convert to fraction form
    568,362.12/784,339.80 = 313,713.38/x
  3. Step 3: Cross multiply
    568,362.12x = 784,339.80 × 313,713.38
  4. Step 4: Simplify right side
    568,362.12x = 246,057,889,726.52
  5. Step 5: Solve for x
    x = 246,057,889,726.52/568,362.12
  6. Step 6: Final answer
    x = 432,924.51

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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.