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Finding the Fourth Proportional to 284,636.36, 427,024.62 and 200,560.73

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Solution

The fourth proportional to 284,636.36, 427,024.62 and 200,560.73 is: 300,890.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,636.36 : 427,024.62 = 200,560.73 : x
  2. Step 2: Convert to fraction form
    284,636.36/427,024.62 = 200,560.73/x
  3. Step 3: Cross multiply
    284,636.36x = 427,024.62 × 200,560.73
  4. Step 4: Simplify right side
    284,636.36x = 85,644,367,380.05
  5. Step 5: Solve for x
    x = 85,644,367,380.05/284,636.36
  6. Step 6: Final answer
    x = 300,890.46

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1.5x scale

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.