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Finding the Fourth Proportional to 381,918.41, 573,002.00 and 182,212.94

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Solution

The fourth proportional to 381,918.41, 573,002.00 and 182,212.94 is: 273,378.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,918.41 : 573,002.00 = 182,212.94 : x
  2. Step 2: Convert to fraction form
    381,918.41/573,002.00 = 182,212.94/x
  3. Step 3: Cross multiply
    381,918.41x = 573,002.00 × 182,212.94
  4. Step 4: Simplify right side
    381,918.41x = 104,408,375,269.81
  5. Step 5: Solve for x
    x = 104,408,375,269.81/381,918.41
  6. Step 6: Final answer
    x = 273,378.75

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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.