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Finding the Fourth Proportional to 263,852.40, 395,195.40 and 204,220.20

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Solution

The fourth proportional to 263,852.40, 395,195.40 and 204,220.20 is: 305,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,852.40 : 395,195.40 = 204,220.20 : x
  2. Step 2: Convert to fraction form
    263,852.40/395,195.40 = 204,220.20/x
  3. Step 3: Cross multiply
    263,852.40x = 395,195.40 × 204,220.20
  4. Step 4: Simplify right side
    263,852.40x = 80,706,883,627.08
  5. Step 5: Solve for x
    x = 80,706,883,627.08/263,852.40
  6. Step 6: Final answer
    x = 305,878.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.