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Finding the Fourth Proportional to 322,188.12, 444,654.54 and 194,933.88

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Solution

The fourth proportional to 322,188.12, 444,654.54 and 194,933.88 is: 269,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,188.12 : 444,654.54 = 194,933.88 : x
  2. Step 2: Convert to fraction form
    322,188.12/444,654.54 = 194,933.88/x
  3. Step 3: Cross multiply
    322,188.12x = 444,654.54 × 194,933.88
  4. Step 4: Simplify right side
    322,188.12x = 86,678,234,741.82
  5. Step 5: Solve for x
    x = 86,678,234,741.82/322,188.12
  6. Step 6: Final answer
    x = 269,029.89

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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.