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Finding the Fourth Proportional to 500,843.84, 751,508.76 and 220,324.64

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Solution

The fourth proportional to 500,843.84, 751,508.76 and 220,324.64 is: 330,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,843.84 : 751,508.76 = 220,324.64 : x
  2. Step 2: Convert to fraction form
    500,843.84/751,508.76 = 220,324.64/x
  3. Step 3: Cross multiply
    500,843.84x = 751,508.76 × 220,324.64
  4. Step 4: Simplify right side
    500,843.84x = 165,575,897,003.85
  5. Step 5: Solve for x
    x = 165,575,897,003.85/500,843.84
  6. Step 6: Final answer
    x = 330,593.86

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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.