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Finding the Fourth Proportional to 410,161.20, 615,241.80 and 394,414.80

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Solution

The fourth proportional to 410,161.20, 615,241.80 and 394,414.80 is: 591,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,161.20 : 615,241.80 = 394,414.80 : x
  2. Step 2: Convert to fraction form
    410,161.20/615,241.80 = 394,414.80/x
  3. Step 3: Cross multiply
    410,161.20x = 615,241.80 × 394,414.80
  4. Step 4: Simplify right side
    410,161.20x = 242,660,471,498.64
  5. Step 5: Solve for x
    x = 242,660,471,498.64/410,161.20
  6. Step 6: Final answer
    x = 591,622.20

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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.