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Finding the Fourth Proportional to 394,414.40, 591,621.60 and 327,929.60

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Solution

The fourth proportional to 394,414.40, 591,621.60 and 327,929.60 is: 491,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,414.40 : 591,621.60 = 327,929.60 : x
  2. Step 2: Convert to fraction form
    394,414.40/591,621.60 = 327,929.60/x
  3. Step 3: Cross multiply
    394,414.40x = 591,621.60 × 327,929.60
  4. Step 4: Simplify right side
    394,414.40x = 194,010,234,639.36
  5. Step 5: Solve for x
    x = 194,010,234,639.36/394,414.40
  6. Step 6: Final answer
    x = 491,894.40

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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.