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Finding the Fourth Proportional to 394,329.66, 591,592.89 and 113,846.91

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Solution

The fourth proportional to 394,329.66, 591,592.89 and 113,846.91 is: 170,798.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,329.66 : 591,592.89 = 113,846.91 : x
  2. Step 2: Convert to fraction form
    394,329.66/591,592.89 = 113,846.91/x
  3. Step 3: Cross multiply
    394,329.66x = 591,592.89 × 113,846.91
  4. Step 4: Simplify right side
    394,329.66x = 67,351,022,504.47
  5. Step 5: Solve for x
    x = 67,351,022,504.47/394,329.66
  6. Step 6: Final answer
    x = 170,798.77

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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.