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Finding the Fourth Proportional to 322,493.14, 444,968.26 and 195,166

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Solution

The fourth proportional to 322,493.14, 444,968.26 and 195,166 is: 269,285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,493.14 : 444,968.26 = 195,166 : x
  2. Step 2: Convert to fraction form
    322,493.14/444,968.26 = 195,166/x
  3. Step 3: Cross multiply
    322,493.14x = 444,968.26 × 195,166
  4. Step 4: Simplify right side
    322,493.14x = 86,842,675,431.16
  5. Step 5: Solve for x
    x = 86,842,675,431.16/322,493.14
  6. Step 6: Final answer
    x = 269,285.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.