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Finding the Fourth Proportional to 322,492.14, 444,966.89 and 195,165

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Solution

The fourth proportional to 322,492.14, 444,966.89 and 195,165 is: 269,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,492.14 : 444,966.89 = 195,165 : x
  2. Step 2: Convert to fraction form
    322,492.14/444,966.89 = 195,165/x
  3. Step 3: Cross multiply
    322,492.14x = 444,966.89 × 195,165
  4. Step 4: Simplify right side
    322,492.14x = 86,841,962,111.03
  5. Step 5: Solve for x
    x = 86,841,962,111.03/322,492.14
  6. Step 6: Final answer
    x = 269,283.96

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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.