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Finding the Fourth Proportional to 263,609.40, 395,414.10 and 164,076.60

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Solution

The fourth proportional to 263,609.40, 395,414.10 and 164,076.60 is: 246,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,609.40 : 395,414.10 = 164,076.60 : x
  2. Step 2: Convert to fraction form
    263,609.40/395,414.10 = 164,076.60/x
  3. Step 3: Cross multiply
    263,609.40x = 395,414.10 × 164,076.60
  4. Step 4: Simplify right side
    263,609.40x = 64,878,201,120.06
  5. Step 5: Solve for x
    x = 64,878,201,120.06/263,609.40
  6. Step 6: Final answer
    x = 246,114.90

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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.