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Finding the Fourth Proportional to 381,704.80, 572,557.20 and 213,743.20

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Solution

The fourth proportional to 381,704.80, 572,557.20 and 213,743.20 is: 320,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,704.80 : 572,557.20 = 213,743.20 : x
  2. Step 2: Convert to fraction form
    381,704.80/572,557.20 = 213,743.20/x
  3. Step 3: Cross multiply
    381,704.80x = 572,557.20 × 213,743.20
  4. Step 4: Simplify right side
    381,704.80x = 122,380,208,111.04
  5. Step 5: Solve for x
    x = 122,380,208,111.04/381,704.80
  6. Step 6: Final answer
    x = 320,614.80

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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.