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Finding the Fourth Proportional to 471,791.57, 651,067.89 and 256,935.23

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Solution

The fourth proportional to 471,791.57, 651,067.89 and 256,935.23 is: 354,568.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,791.57 : 651,067.89 = 256,935.23 : x
  2. Step 2: Convert to fraction form
    471,791.57/651,067.89 = 256,935.23/x
  3. Step 3: Cross multiply
    471,791.57x = 651,067.89 × 256,935.23
  4. Step 4: Simplify right side
    471,791.57x = 167,282,274,807.43
  5. Step 5: Solve for x
    x = 167,282,274,807.43/471,791.57
  6. Step 6: Final answer
    x = 354,568.17

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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.