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Finding the Fourth Proportional to 288,921.78, 398,732.91 and 161,638.38

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Solution

The fourth proportional to 288,921.78, 398,732.91 and 161,638.38 is: 223,072.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,921.78 : 398,732.91 = 161,638.38 : x
  2. Step 2: Convert to fraction form
    288,921.78/398,732.91 = 161,638.38/x
  3. Step 3: Cross multiply
    288,921.78x = 398,732.91 × 161,638.38
  4. Step 4: Simplify right side
    288,921.78x = 64,450,541,625.09
  5. Step 5: Solve for x
    x = 64,450,541,625.09/288,921.78
  6. Step 6: Final answer
    x = 223,072.63

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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.