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Finding the Fourth Proportional to 381,694.20, 572,541.30 and 213,732.60

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Solution

The fourth proportional to 381,694.20, 572,541.30 and 213,732.60 is: 320,598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,694.20 : 572,541.30 = 213,732.60 : x
  2. Step 2: Convert to fraction form
    381,694.20/572,541.30 = 213,732.60/x
  3. Step 3: Cross multiply
    381,694.20x = 572,541.30 × 213,732.60
  4. Step 4: Simplify right side
    381,694.20x = 122,370,740,656.38
  5. Step 5: Solve for x
    x = 122,370,740,656.38/381,694.20
  6. Step 6: Final answer
    x = 320,598.90

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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.