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Finding the Fourth Proportional to 303,542.64, 455,067.72 and 270,327.24

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Solution

The fourth proportional to 303,542.64, 455,067.72 and 270,327.24 is: 405,271.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,542.64 : 455,067.72 = 270,327.24 : x
  2. Step 2: Convert to fraction form
    303,542.64/455,067.72 = 270,327.24/x
  3. Step 3: Cross multiply
    303,542.64x = 455,067.72 × 270,327.24
  4. Step 4: Simplify right side
    303,542.64x = 123,017,200,760.69
  5. Step 5: Solve for x
    x = 123,017,200,760.69/303,542.64
  6. Step 6: Final answer
    x = 405,271.57

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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.