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Finding the Fourth Proportional to 339,361.98, 468,284.40 and 196,168.02

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Solution

The fourth proportional to 339,361.98, 468,284.40 and 196,168.02 is: 270,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,361.98 : 468,284.40 = 196,168.02 : x
  2. Step 2: Convert to fraction form
    339,361.98/468,284.40 = 196,168.02/x
  3. Step 3: Cross multiply
    339,361.98x = 468,284.40 × 196,168.02
  4. Step 4: Simplify right side
    339,361.98x = 91,862,423,544.89
  5. Step 5: Solve for x
    x = 91,862,423,544.89/339,361.98
  6. Step 6: Final answer
    x = 270,691.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.