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Finding the Fourth Proportional to 381,896.64, 571,972.83 and 182,357.49

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Solution

The fourth proportional to 381,896.64, 571,972.83 and 182,357.49 is: 273,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,896.64 : 571,972.83 = 182,357.49 : x
  2. Step 2: Convert to fraction form
    381,896.64/571,972.83 = 182,357.49/x
  3. Step 3: Cross multiply
    381,896.64x = 571,972.83 × 182,357.49
  4. Step 4: Simplify right side
    381,896.64x = 104,303,529,627.00
  5. Step 5: Solve for x
    x = 104,303,529,627.00/381,896.64
  6. Step 6: Final answer
    x = 273,119.79

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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.