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Finding the Fourth Proportional to 301,708.80, 451,396.80 and 196,732.80

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Solution

The fourth proportional to 301,708.80, 451,396.80 and 196,732.80 is: 294,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,708.80 : 451,396.80 = 196,732.80 : x
  2. Step 2: Convert to fraction form
    301,708.80/451,396.80 = 196,732.80/x
  3. Step 3: Cross multiply
    301,708.80x = 451,396.80 × 196,732.80
  4. Step 4: Simplify right side
    301,708.80x = 88,804,556,375.04
  5. Step 5: Solve for x
    x = 88,804,556,375.04/301,708.80
  6. Step 6: Final answer
    x = 294,338.64

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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.