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Finding the Fourth Proportional to 381,694.60, 572,541.90 and 204,110.20

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Solution

The fourth proportional to 381,694.60, 572,541.90 and 204,110.20 is: 306,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,694.60 : 572,541.90 = 204,110.20 : x
  2. Step 2: Convert to fraction form
    381,694.60/572,541.90 = 204,110.20/x
  3. Step 3: Cross multiply
    381,694.60x = 572,541.90 × 204,110.20
  4. Step 4: Simplify right side
    381,694.60x = 116,861,641,717.38
  5. Step 5: Solve for x
    x = 116,861,641,717.38/381,694.60
  6. Step 6: Final answer
    x = 306,165.30

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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.