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Finding the Fourth Proportional to 340,811.41, 511,060.60 and 116,080.41

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Solution

The fourth proportional to 340,811.41, 511,060.60 and 116,080.41 is: 174,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,811.41 : 511,060.60 = 116,080.41 : x
  2. Step 2: Convert to fraction form
    340,811.41/511,060.60 = 116,080.41/x
  3. Step 3: Cross multiply
    340,811.41x = 511,060.60 × 116,080.41
  4. Step 4: Simplify right side
    340,811.41x = 59,324,123,402.44
  5. Step 5: Solve for x
    x = 59,324,123,402.44/340,811.41
  6. Step 6: Final answer
    x = 174,067.31

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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.