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Finding the Fourth Proportional to 381,754.96, 571,760.07 and 182,215.45

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Solution

The fourth proportional to 381,754.96, 571,760.07 and 182,215.45 is: 272,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,754.96 : 571,760.07 = 182,215.45 : x
  2. Step 2: Convert to fraction form
    381,754.96/571,760.07 = 182,215.45/x
  3. Step 3: Cross multiply
    381,754.96x = 571,760.07 × 182,215.45
  4. Step 4: Simplify right side
    381,754.96x = 104,183,518,447.08
  5. Step 5: Solve for x
    x = 104,183,518,447.08/381,754.96
  6. Step 6: Final answer
    x = 272,906.78

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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.