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Finding the Fourth Proportional to 394,590.02, 591,902.31 and 114,135.62

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Solution

The fourth proportional to 394,590.02, 591,902.31 and 114,135.62 is: 171,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,590.02 : 591,902.31 = 114,135.62 : x
  2. Step 2: Convert to fraction form
    394,590.02/591,902.31 = 114,135.62/x
  3. Step 3: Cross multiply
    394,590.02x = 591,902.31 × 114,135.62
  4. Step 4: Simplify right side
    394,590.02x = 67,557,137,131.28
  5. Step 5: Solve for x
    x = 67,557,137,131.28/394,590.02
  6. Step 6: Final answer
    x = 171,208.43

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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.