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Finding the Fourth Proportional to 422,382.37, 633,575.70 and 106,839.58

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Solution

The fourth proportional to 422,382.37, 633,575.70 and 106,839.58 is: 160,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,382.37 : 633,575.70 = 106,839.58 : x
  2. Step 2: Convert to fraction form
    422,382.37/633,575.70 = 106,839.58/x
  3. Step 3: Cross multiply
    422,382.37x = 633,575.70 × 106,839.58
  4. Step 4: Simplify right side
    422,382.37x = 67,690,961,686.21
  5. Step 5: Solve for x
    x = 67,690,961,686.21/422,382.37
  6. Step 6: Final answer
    x = 160,259.91

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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.