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Finding the Fourth Proportional to 284,649.44, 427,044.20 and 200,573.73

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Solution

The fourth proportional to 284,649.44, 427,044.20 and 200,573.73 is: 300,909.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,649.44 : 427,044.20 = 200,573.73 : x
  2. Step 2: Convert to fraction form
    284,649.44/427,044.20 = 200,573.73/x
  3. Step 3: Cross multiply
    284,649.44x = 427,044.20 × 200,573.73
  4. Step 4: Simplify right side
    284,649.44x = 85,653,847,066.00
  5. Step 5: Solve for x
    x = 85,653,847,066.00/284,649.44
  6. Step 6: Final answer
    x = 300,909.95

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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.