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Finding the Fourth Proportional to 381,754.70, 571,759.67 and 182,215.16

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Solution

The fourth proportional to 381,754.70, 571,759.67 and 182,215.16 is: 272,906.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,754.70 : 571,759.67 = 182,215.16 : x
  2. Step 2: Convert to fraction form
    381,754.70/571,759.67 = 182,215.16/x
  3. Step 3: Cross multiply
    381,754.70x = 571,759.67 × 182,215.16
  4. Step 4: Simplify right side
    381,754.70x = 104,183,275,980.72
  5. Step 5: Solve for x
    x = 104,183,275,980.72/381,754.70
  6. Step 6: Final answer
    x = 272,906.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.