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Finding the Fourth Proportional to 394,522.32, 591,787.80 and 114,042

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Solution

The fourth proportional to 394,522.32, 591,787.80 and 114,042 is: 171,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,522.32 : 591,787.80 = 114,042 : x
  2. Step 2: Convert to fraction form
    394,522.32/591,787.80 = 114,042/x
  3. Step 3: Cross multiply
    394,522.32x = 591,787.80 × 114,042
  4. Step 4: Simplify right side
    394,522.32x = 67,488,664,287.60
  5. Step 5: Solve for x
    x = 67,488,664,287.60/394,522.32
  6. Step 6: Final answer
    x = 171,064.25

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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.