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Finding the Fourth Proportional to 467,986.52, 702,067.26 and 187,525.64

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Solution

The fourth proportional to 467,986.52, 702,067.26 and 187,525.64 is: 281,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,986.52 : 702,067.26 = 187,525.64 : x
  2. Step 2: Convert to fraction form
    467,986.52/702,067.26 = 187,525.64/x
  3. Step 3: Cross multiply
    467,986.52x = 702,067.26 × 187,525.64
  4. Step 4: Simplify right side
    467,986.52x = 131,655,608,744.21
  5. Step 5: Solve for x
    x = 131,655,608,744.21/467,986.52
  6. Step 6: Final answer
    x = 281,323.51

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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.