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Finding the Fourth Proportional to 381,671.88, 526,723.64 and 211,906

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Solution

The fourth proportional to 381,671.88, 526,723.64 and 211,906 is: 292,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,671.88 : 526,723.64 = 211,906 : x
  2. Step 2: Convert to fraction form
    381,671.88/526,723.64 = 211,906/x
  3. Step 3: Cross multiply
    381,671.88x = 526,723.64 × 211,906
  4. Step 4: Simplify right side
    381,671.88x = 111,615,899,657.84
  5. Step 5: Solve for x
    x = 111,615,899,657.84/381,671.88
  6. Step 6: Final answer
    x = 292,439.41

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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.