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Finding the Fourth Proportional to 422,526.77, 633,791.23 and 106,983.71

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Solution

The fourth proportional to 422,526.77, 633,791.23 and 106,983.71 is: 160,475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,526.77 : 633,791.23 = 106,983.71 : x
  2. Step 2: Convert to fraction form
    422,526.77/633,791.23 = 106,983.71/x
  3. Step 3: Cross multiply
    422,526.77x = 633,791.23 × 106,983.71
  4. Step 4: Simplify right side
    422,526.77x = 67,805,337,150.86
  5. Step 5: Solve for x
    x = 67,805,337,150.86/422,526.77
  6. Step 6: Final answer
    x = 160,475.84

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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.