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Finding the Fourth Proportional to 301,716.28, 416,426.94 and 199,743.64

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Solution

The fourth proportional to 301,716.28, 416,426.94 and 199,743.64 is: 275,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,716.28 : 416,426.94 = 199,743.64 : x
  2. Step 2: Convert to fraction form
    301,716.28/416,426.94 = 199,743.64/x
  3. Step 3: Cross multiply
    301,716.28x = 416,426.94 × 199,743.64
  4. Step 4: Simplify right side
    301,716.28x = 83,178,632,789.66
  5. Step 5: Solve for x
    x = 83,178,632,789.66/301,716.28
  6. Step 6: Final answer
    x = 275,684.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.