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Finding the Fourth Proportional to 381,980.22, 527,101.84 and 220,845.65

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Solution

The fourth proportional to 381,980.22, 527,101.84 and 220,845.65 is: 304,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,980.22 : 527,101.84 = 220,845.65 : x
  2. Step 2: Convert to fraction form
    381,980.22/527,101.84 = 220,845.65/x
  3. Step 3: Cross multiply
    381,980.22x = 527,101.84 × 220,845.65
  4. Step 4: Simplify right side
    381,980.22x = 116,408,147,366.77
  5. Step 5: Solve for x
    x = 116,408,147,366.77/381,980.22
  6. Step 6: Final answer
    x = 304,749.15

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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.