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Finding the Fourth Proportional to 427,786.88, 641,651.28 and 147,500.96

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Solution

The fourth proportional to 427,786.88, 641,651.28 and 147,500.96 is: 221,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,786.88 : 641,651.28 = 147,500.96 : x
  2. Step 2: Convert to fraction form
    427,786.88/641,651.28 = 147,500.96/x
  3. Step 3: Cross multiply
    427,786.88x = 641,651.28 × 147,500.96
  4. Step 4: Simplify right side
    427,786.88x = 94,644,179,785.23
  5. Step 5: Solve for x
    x = 94,644,179,785.23/427,786.88
  6. Step 6: Final answer
    x = 221,241.43

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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.