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Finding the Fourth Proportional to 381,833.25, 526,940.82 and 212,078.31

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Solution

The fourth proportional to 381,833.25, 526,940.82 and 212,078.31 is: 292,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,833.25 : 526,940.82 = 212,078.31 : x
  2. Step 2: Convert to fraction form
    381,833.25/526,940.82 = 212,078.31/x
  3. Step 3: Cross multiply
    381,833.25x = 526,940.82 × 212,078.31
  4. Step 4: Simplify right side
    381,833.25x = 111,752,718,575.61
  5. Step 5: Solve for x
    x = 111,752,718,575.61/381,833.25
  6. Step 6: Final answer
    x = 292,674.14

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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.