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Finding the Fourth Proportional to 381,229.44, 526,431 and 238,233.84

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Solution

The fourth proportional to 381,229.44, 526,431 and 238,233.84 is: 328,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,229.44 : 526,431 = 238,233.84 : x
  2. Step 2: Convert to fraction form
    381,229.44/526,431 = 238,233.84/x
  3. Step 3: Cross multiply
    381,229.44x = 526,431 × 238,233.84
  4. Step 4: Simplify right side
    381,229.44x = 125,413,678,625.04
  5. Step 5: Solve for x
    x = 125,413,678,625.04/381,229.44
  6. Step 6: Final answer
    x = 328,971.65

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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.