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Finding the Fourth Proportional to 284,249.22, 426,334.95 and 84,600.42

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Solution

The fourth proportional to 284,249.22, 426,334.95 and 84,600.42 is: 126,889.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,249.22 : 426,334.95 = 84,600.42 : x
  2. Step 2: Convert to fraction form
    284,249.22/426,334.95 = 84,600.42/x
  3. Step 3: Cross multiply
    284,249.22x = 426,334.95 × 84,600.42
  4. Step 4: Simplify right side
    284,249.22x = 36,068,115,830.68
  5. Step 5: Solve for x
    x = 36,068,115,830.68/284,249.22
  6. Step 6: Final answer
    x = 126,889.06

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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.