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Finding the Fourth Proportional to 542,067.80, 748,033.38 and 312,634.69

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Solution

The fourth proportional to 542,067.80, 748,033.38 and 312,634.69 is: 431,424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,067.80 : 748,033.38 = 312,634.69 : x
  2. Step 2: Convert to fraction form
    542,067.80/748,033.38 = 312,634.69/x
  3. Step 3: Cross multiply
    542,067.80x = 748,033.38 × 312,634.69
  4. Step 4: Simplify right side
    542,067.80x = 233,861,181,995.87
  5. Step 5: Solve for x
    x = 233,861,181,995.87/542,067.80
  6. Step 6: Final answer
    x = 431,424.23

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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.