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Finding the Fourth Proportional to 394,556.40, 591,834.60 and 252,838.80

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Solution

The fourth proportional to 394,556.40, 591,834.60 and 252,838.80 is: 379,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,556.40 : 591,834.60 = 252,838.80 : x
  2. Step 2: Convert to fraction form
    394,556.40/591,834.60 = 252,838.80/x
  3. Step 3: Cross multiply
    394,556.40x = 591,834.60 × 252,838.80
  4. Step 4: Simplify right side
    394,556.40x = 149,638,750,062.48
  5. Step 5: Solve for x
    x = 149,638,750,062.48/394,556.40
  6. Step 6: Final answer
    x = 379,258.20

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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.