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Finding the Fourth Proportional to 381,179.89, 526,029.06 and 209,099.27

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Solution

The fourth proportional to 381,179.89, 526,029.06 and 209,099.27 is: 288,557.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,179.89 : 526,029.06 = 209,099.27 : x
  2. Step 2: Convert to fraction form
    381,179.89/526,029.06 = 209,099.27/x
  3. Step 3: Cross multiply
    381,179.89x = 526,029.06 × 209,099.27
  4. Step 4: Simplify right side
    381,179.89x = 109,992,293,400.55
  5. Step 5: Solve for x
    x = 109,992,293,400.55/381,179.89
  6. Step 6: Final answer
    x = 288,557.44

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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.