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Finding the Fourth Proportional to 322,202.96, 444,627.68 and 178,972.16

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Solution

The fourth proportional to 322,202.96, 444,627.68 and 178,972.16 is: 246,974.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,202.96 : 444,627.68 = 178,972.16 : x
  2. Step 2: Convert to fraction form
    322,202.96/444,627.68 = 178,972.16/x
  3. Step 3: Cross multiply
    322,202.96x = 444,627.68 × 178,972.16
  4. Step 4: Simplify right side
    322,202.96x = 79,575,976,285.39
  5. Step 5: Solve for x
    x = 79,575,976,285.39/322,202.96
  6. Step 6: Final answer
    x = 246,974.69

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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.