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Finding the Fourth Proportional to 381,447.36, 526,362.48 and 226,371.84

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Solution

The fourth proportional to 381,447.36, 526,362.48 and 226,371.84 is: 312,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,447.36 : 526,362.48 = 226,371.84 : x
  2. Step 2: Convert to fraction form
    381,447.36/526,362.48 = 226,371.84/x
  3. Step 3: Cross multiply
    381,447.36x = 526,362.48 × 226,371.84
  4. Step 4: Simplify right side
    381,447.36x = 119,153,643,104.56
  5. Step 5: Solve for x
    x = 119,153,643,104.56/381,447.36
  6. Step 6: Final answer
    x = 312,372.44

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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.