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Finding the Fourth Proportional to 394,087.56, 591,214.32 and 127,827.24

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Solution

The fourth proportional to 394,087.56, 591,214.32 and 127,827.24 is: 191,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,087.56 : 591,214.32 = 127,827.24 : x
  2. Step 2: Convert to fraction form
    394,087.56/591,214.32 = 127,827.24/x
  3. Step 3: Cross multiply
    394,087.56x = 591,214.32 × 127,827.24
  4. Step 4: Simplify right side
    394,087.56x = 75,573,294,774.08
  5. Step 5: Solve for x
    x = 75,573,294,774.08/394,087.56
  6. Step 6: Final answer
    x = 191,767.78

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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.