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Finding the Fourth Proportional to 381,886.27, 571,956.83 and 182,346.41

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Solution

The fourth proportional to 381,886.27, 571,956.83 and 182,346.41 is: 273,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,886.27 : 571,956.83 = 182,346.41 : x
  2. Step 2: Convert to fraction form
    381,886.27/571,956.83 = 182,346.41/x
  3. Step 3: Cross multiply
    381,886.27x = 571,956.83 × 182,346.41
  4. Step 4: Simplify right side
    381,886.27x = 104,294,275,827.44
  5. Step 5: Solve for x
    x = 104,294,275,827.44/381,886.27
  6. Step 6: Final answer
    x = 273,102.98

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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.