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Finding the Fourth Proportional to 422,107.38, 633,011.63 and 155,796.39

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Solution

The fourth proportional to 422,107.38, 633,011.63 and 155,796.39 is: 233,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,107.38 : 633,011.63 = 155,796.39 : x
  2. Step 2: Convert to fraction form
    422,107.38/633,011.63 = 155,796.39/x
  3. Step 3: Cross multiply
    422,107.38x = 633,011.63 × 155,796.39
  4. Step 4: Simplify right side
    422,107.38x = 98,620,926,003.03
  5. Step 5: Solve for x
    x = 98,620,926,003.03/422,107.38
  6. Step 6: Final answer
    x = 233,639.43

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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.