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Finding the Fourth Proportional to 541,223.24, 811,739.82 and 167,249.48

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Solution

The fourth proportional to 541,223.24, 811,739.82 and 167,249.48 is: 250,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,223.24 : 811,739.82 = 167,249.48 : x
  2. Step 2: Convert to fraction form
    541,223.24/811,739.82 = 167,249.48/x
  3. Step 3: Cross multiply
    541,223.24x = 811,739.82 × 167,249.48
  4. Step 4: Simplify right side
    541,223.24x = 135,763,062,790.29
  5. Step 5: Solve for x
    x = 135,763,062,790.29/541,223.24
  6. Step 6: Final answer
    x = 250,844.85

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1.5x scale

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.