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Finding the Fourth Proportional to 381,226.26, 526,092.76 and 211,460.38

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Solution

The fourth proportional to 381,226.26, 526,092.76 and 211,460.38 is: 291,815.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,226.26 : 526,092.76 = 211,460.38 : x
  2. Step 2: Convert to fraction form
    381,226.26/526,092.76 = 211,460.38/x
  3. Step 3: Cross multiply
    381,226.26x = 526,092.76 × 211,460.38
  4. Step 4: Simplify right side
    381,226.26x = 111,247,774,944.85
  5. Step 5: Solve for x
    x = 111,247,774,944.85/381,226.26
  6. Step 6: Final answer
    x = 291,815.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.