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Finding the Fourth Proportional to 339,455.46, 468,532.71 and 196,194.81

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Solution

The fourth proportional to 339,455.46, 468,532.71 and 196,194.81 is: 270,797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,455.46 : 468,532.71 = 196,194.81 : x
  2. Step 2: Convert to fraction form
    339,455.46/468,532.71 = 196,194.81/x
  3. Step 3: Cross multiply
    339,455.46x = 468,532.71 × 196,194.81
  4. Step 4: Simplify right side
    339,455.46x = 91,923,686,017.24
  5. Step 5: Solve for x
    x = 91,923,686,017.24/339,455.46
  6. Step 6: Final answer
    x = 270,797.49

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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.