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Finding the Fourth Proportional to 284,635.62, 427,023.50 and 200,559.98

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Solution

The fourth proportional to 284,635.62, 427,023.50 and 200,559.98 is: 300,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,635.62 : 427,023.50 = 200,559.98 : x
  2. Step 2: Convert to fraction form
    284,635.62/427,023.50 = 200,559.98/x
  3. Step 3: Cross multiply
    284,635.62x = 427,023.50 × 200,559.98
  4. Step 4: Simplify right side
    284,635.62x = 85,643,821,481.61
  5. Step 5: Solve for x
    x = 85,643,821,481.61/284,635.62
  6. Step 6: Final answer
    x = 300,889.33

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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.