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Finding the Fourth Proportional to 501,198.64, 751,777.30 and 181,358.09

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Solution

The fourth proportional to 501,198.64, 751,777.30 and 181,358.09 is: 272,029.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,198.64 : 751,777.30 = 181,358.09 : x
  2. Step 2: Convert to fraction form
    501,198.64/751,777.30 = 181,358.09/x
  3. Step 3: Cross multiply
    501,198.64x = 751,777.30 × 181,358.09
  4. Step 4: Simplify right side
    501,198.64x = 136,340,894,520.33
  5. Step 5: Solve for x
    x = 136,340,894,520.33/501,198.64
  6. Step 6: Final answer
    x = 272,029.66

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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.