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Finding the Fourth Proportional to 381,834, 526,930.92 and 212,083.92

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Solution

The fourth proportional to 381,834, 526,930.92 and 212,083.92 is: 292,675.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,834 : 526,930.92 = 212,083.92 : x
  2. Step 2: Convert to fraction form
    381,834/526,930.92 = 212,083.92/x
  3. Step 3: Cross multiply
    381,834x = 526,930.92 × 212,083.92
  4. Step 4: Simplify right side
    381,834x = 111,753,575,082.81
  5. Step 5: Solve for x
    x = 111,753,575,082.81/381,834
  6. Step 6: Final answer
    x = 292,675.81

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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.