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Finding the Fourth Proportional to 381,687.10, 533,662.10 and 381,687.10

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Solution

The fourth proportional to 381,687.10, 533,662.10 and 381,687.10 is: 533,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,687.10 : 533,662.10 = 381,687.10 : x
  2. Step 2: Convert to fraction form
    381,687.10/533,662.10 = 381,687.10/x
  3. Step 3: Cross multiply
    381,687.10x = 533,662.10 × 381,687.10
  4. Step 4: Simplify right side
    381,687.10x = 203,691,939,328.91
  5. Step 5: Solve for x
    x = 203,691,939,328.91/381,687.10
  6. Step 6: Final answer
    x = 533,662.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.