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Finding the Fourth Proportional to 381,896.89, 571,973.21 and 182,357.74

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Solution

The fourth proportional to 381,896.89, 571,973.21 and 182,357.74 is: 273,120.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,896.89 : 571,973.21 = 182,357.74 : x
  2. Step 2: Convert to fraction form
    381,896.89/571,973.21 = 182,357.74/x
  3. Step 3: Cross multiply
    381,896.89x = 571,973.21 × 182,357.74
  4. Step 4: Simplify right side
    381,896.89x = 104,303,741,004.36
  5. Step 5: Solve for x
    x = 104,303,741,004.36/381,896.89
  6. Step 6: Final answer
    x = 273,120.16

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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.