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Finding the Fourth Proportional to 427,591.32, 641,197.38 and 227,874.48

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Solution

The fourth proportional to 427,591.32, 641,197.38 and 227,874.48 is: 341,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,591.32 : 641,197.38 = 227,874.48 : x
  2. Step 2: Convert to fraction form
    427,591.32/641,197.38 = 227,874.48/x
  3. Step 3: Cross multiply
    427,591.32x = 641,197.38 × 227,874.48
  4. Step 4: Simplify right side
    427,591.32x = 146,112,519,544.86
  5. Step 5: Solve for x
    x = 146,112,519,544.86/427,591.32
  6. Step 6: Final answer
    x = 341,710.68

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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.