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Finding the Fourth Proportional to 275,733.71, 413,806.44 and 204,820.10

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Solution

The fourth proportional to 275,733.71, 413,806.44 and 204,820.10 is: 307,383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,733.71 : 413,806.44 = 204,820.10 : x
  2. Step 2: Convert to fraction form
    275,733.71/413,806.44 = 204,820.10/x
  3. Step 3: Cross multiply
    275,733.71x = 413,806.44 × 204,820.10
  4. Step 4: Simplify right side
    275,733.71x = 84,755,876,421.44
  5. Step 5: Solve for x
    x = 84,755,876,421.44/275,733.71
  6. Step 6: Final answer
    x = 307,383.08

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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.