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Finding the Fourth Proportional to 284,636.60, 427,024.98 and 200,560.98

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Solution

The fourth proportional to 284,636.60, 427,024.98 and 200,560.98 is: 300,890.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,636.60 : 427,024.98 = 200,560.98 : x
  2. Step 2: Convert to fraction form
    284,636.60/427,024.98 = 200,560.98/x
  3. Step 3: Cross multiply
    284,636.60x = 427,024.98 × 200,560.98
  4. Step 4: Simplify right side
    284,636.60x = 85,644,548,473.28
  5. Step 5: Solve for x
    x = 85,644,548,473.28/284,636.60
  6. Step 6: Final answer
    x = 300,890.85

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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.