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Finding the Fourth Proportional to 422,381.37, 633,574.20 and 106,838.58

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Solution

The fourth proportional to 422,381.37, 633,574.20 and 106,838.58 is: 160,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,381.37 : 633,574.20 = 106,838.58 : x
  2. Step 2: Convert to fraction form
    422,381.37/633,574.20 = 106,838.58/x
  3. Step 3: Cross multiply
    422,381.37x = 633,574.20 × 106,838.58
  4. Step 4: Simplify right side
    422,381.37x = 67,690,170,629.18
  5. Step 5: Solve for x
    x = 67,690,170,629.18/422,381.37
  6. Step 6: Final answer
    x = 160,258.42

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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.