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Finding the Fourth Proportional to 381,504.31, 526,500.56 and 211,738.44

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Solution

The fourth proportional to 381,504.31, 526,500.56 and 211,738.44 is: 292,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,504.31 : 526,500.56 = 211,738.44 : x
  2. Step 2: Convert to fraction form
    381,504.31/526,500.56 = 211,738.44/x
  3. Step 3: Cross multiply
    381,504.31x = 526,500.56 × 211,738.44
  4. Step 4: Simplify right side
    381,504.31x = 111,480,406,174.83
  5. Step 5: Solve for x
    x = 111,480,406,174.83/381,504.31
  6. Step 6: Final answer
    x = 292,212.70

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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.