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Finding the Fourth Proportional to 422,588.61, 633,906 and 107,048.25

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Solution

The fourth proportional to 422,588.61, 633,906 and 107,048.25 is: 160,578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,588.61 : 633,906 = 107,048.25 : x
  2. Step 2: Convert to fraction form
    422,588.61/633,906 = 107,048.25/x
  3. Step 3: Cross multiply
    422,588.61x = 633,906 × 107,048.25
  4. Step 4: Simplify right side
    422,588.61x = 67,858,527,964.50
  5. Step 5: Solve for x
    x = 67,858,527,964.50/422,588.61
  6. Step 6: Final answer
    x = 160,578.22

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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.