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Finding the Fourth Proportional to 284,887.43, 427,173.38 and 116,525.97

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Solution

The fourth proportional to 284,887.43, 427,173.38 and 116,525.97 is: 174,724.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,887.43 : 427,173.38 = 116,525.97 : x
  2. Step 2: Convert to fraction form
    284,887.43/427,173.38 = 116,525.97/x
  3. Step 3: Cross multiply
    284,887.43x = 427,173.38 × 116,525.97
  4. Step 4: Simplify right side
    284,887.43x = 49,776,793,481.95
  5. Step 5: Solve for x
    x = 49,776,793,481.95/284,887.43
  6. Step 6: Final answer
    x = 174,724.43

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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.