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Finding the Fourth Proportional to 394,591.52, 591,904.56 and 114,137.12

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Solution

The fourth proportional to 394,591.52, 591,904.56 and 114,137.12 is: 171,210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,591.52 : 591,904.56 = 114,137.12 : x
  2. Step 2: Convert to fraction form
    394,591.52/591,904.56 = 114,137.12/x
  3. Step 3: Cross multiply
    394,591.52x = 591,904.56 × 114,137.12
  4. Step 4: Simplify right side
    394,591.52x = 67,558,281,793.27
  5. Step 5: Solve for x
    x = 67,558,281,793.27/394,591.52
  6. Step 6: Final answer
    x = 171,210.68

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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.