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Finding the Fourth Proportional to 422,037.07, 582,425.84 and 231,051.83

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Solution

The fourth proportional to 422,037.07, 582,425.84 and 231,051.83 is: 318,859.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,037.07 : 582,425.84 = 231,051.83 : x
  2. Step 2: Convert to fraction form
    422,037.07/582,425.84 = 231,051.83/x
  3. Step 3: Cross multiply
    422,037.07x = 582,425.84 × 231,051.83
  4. Step 4: Simplify right side
    422,037.07x = 134,570,553,836.79
  5. Step 5: Solve for x
    x = 134,570,553,836.79/422,037.07
  6. Step 6: Final answer
    x = 318,859.56

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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.