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Finding the Fourth Proportional to 422,265.08, 633,419.40 and 106,724.72

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Solution

The fourth proportional to 422,265.08, 633,419.40 and 106,724.72 is: 160,092.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,265.08 : 633,419.40 = 106,724.72 : x
  2. Step 2: Convert to fraction form
    422,265.08/633,419.40 = 106,724.72/x
  3. Step 3: Cross multiply
    422,265.08x = 633,419.40 × 106,724.72
  4. Step 4: Simplify right side
    422,265.08x = 67,601,508,107.57
  5. Step 5: Solve for x
    x = 67,601,508,107.57/422,265.08
  6. Step 6: Final answer
    x = 160,092.58

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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.