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Finding the Fourth Proportional to 394,596.80, 591,938.40 and 382,155.20

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Solution

The fourth proportional to 394,596.80, 591,938.40 and 382,155.20 is: 573,274.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,596.80 : 591,938.40 = 382,155.20 : x
  2. Step 2: Convert to fraction form
    394,596.80/591,938.40 = 382,155.20/x
  3. Step 3: Cross multiply
    394,596.80x = 591,938.40 × 382,155.20
  4. Step 4: Simplify right side
    394,596.80x = 226,212,337,639.68
  5. Step 5: Solve for x
    x = 226,212,337,639.68/394,596.80
  6. Step 6: Final answer
    x = 573,274.64

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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.