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Finding the Fourth Proportional to 381,684.60, 572,786.10 and 213,204.60

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Solution

The fourth proportional to 381,684.60, 572,786.10 and 213,204.60 is: 319,951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,684.60 : 572,786.10 = 213,204.60 : x
  2. Step 2: Convert to fraction form
    381,684.60/572,786.10 = 213,204.60/x
  3. Step 3: Cross multiply
    381,684.60x = 572,786.10 × 213,204.60
  4. Step 4: Simplify right side
    381,684.60x = 122,120,631,336.06
  5. Step 5: Solve for x
    x = 122,120,631,336.06/381,684.60
  6. Step 6: Final answer
    x = 319,951.69

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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.