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Finding the Fourth Proportional to 283,204.30, 423,822.30 and 194,630.80

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Solution

The fourth proportional to 283,204.30, 423,822.30 and 194,630.80 is: 291,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,204.30 : 423,822.30 = 194,630.80 : x
  2. Step 2: Convert to fraction form
    283,204.30/423,822.30 = 194,630.80/x
  3. Step 3: Cross multiply
    283,204.30x = 423,822.30 × 194,630.80
  4. Step 4: Simplify right side
    283,204.30x = 82,488,873,306.84
  5. Step 5: Solve for x
    x = 82,488,873,306.84/283,204.30
  6. Step 6: Final answer
    x = 291,269.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.