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Finding the Fourth Proportional to 422,022.25, 633,151.93 and 169,480.09

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Solution

The fourth proportional to 422,022.25, 633,151.93 and 169,480.09 is: 254,267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,022.25 : 633,151.93 = 169,480.09 : x
  2. Step 2: Convert to fraction form
    422,022.25/633,151.93 = 169,480.09/x
  3. Step 3: Cross multiply
    422,022.25x = 633,151.93 × 169,480.09
  4. Step 4: Simplify right side
    422,022.25x = 107,306,646,080.07
  5. Step 5: Solve for x
    x = 107,306,646,080.07/422,022.25
  6. Step 6: Final answer
    x = 254,267.75

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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.