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Finding the Fourth Proportional to 341,361.28, 511,883.43 and 199,247.59

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Solution

The fourth proportional to 341,361.28, 511,883.43 and 199,247.59 is: 298,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,361.28 : 511,883.43 = 199,247.59 : x
  2. Step 2: Convert to fraction form
    341,361.28/511,883.43 = 199,247.59/x
  3. Step 3: Cross multiply
    341,361.28x = 511,883.43 × 199,247.59
  4. Step 4: Simplify right side
    341,361.28x = 101,991,539,788.43
  5. Step 5: Solve for x
    x = 101,991,539,788.43/341,361.28
  6. Step 6: Final answer
    x = 298,778.88

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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.