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Finding the Fourth Proportional to 381,667.86, 526,718.10 and 211,902

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Solution

The fourth proportional to 381,667.86, 526,718.10 and 211,902 is: 292,433.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,667.86 : 526,718.10 = 211,902 : x
  2. Step 2: Convert to fraction form
    381,667.86/526,718.10 = 211,902/x
  3. Step 3: Cross multiply
    381,667.86x = 526,718.10 × 211,902
  4. Step 4: Simplify right side
    381,667.86x = 111,612,618,826.20
  5. Step 5: Solve for x
    x = 111,612,618,826.20/381,667.86
  6. Step 6: Final answer
    x = 292,433.89

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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.