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Finding the Fourth Proportional to 284,636.12, 427,024.24 and 200,560.48

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Solution

The fourth proportional to 284,636.12, 427,024.24 and 200,560.48 is: 300,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,636.12 : 427,024.24 = 200,560.48 : x
  2. Step 2: Convert to fraction form
    284,636.12/427,024.24 = 200,560.48/x
  3. Step 3: Cross multiply
    284,636.12x = 427,024.24 × 200,560.48
  4. Step 4: Simplify right side
    284,636.12x = 85,644,186,546.04
  5. Step 5: Solve for x
    x = 85,644,186,546.04/284,636.12
  6. Step 6: Final answer
    x = 300,890.09

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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.