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Finding the Fourth Proportional to 283,794.94, 391,619.91 and 162,909.82

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Solution

The fourth proportional to 283,794.94, 391,619.91 and 162,909.82 is: 224,805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,794.94 : 391,619.91 = 162,909.82 : x
  2. Step 2: Convert to fraction form
    283,794.94/391,619.91 = 162,909.82/x
  3. Step 3: Cross multiply
    283,794.94x = 391,619.91 × 162,909.82
  4. Step 4: Simplify right side
    283,794.94x = 63,798,729,046.52
  5. Step 5: Solve for x
    x = 63,798,729,046.52/283,794.94
  6. Step 6: Final answer
    x = 224,805.73

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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.