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Finding the Fourth Proportional to 427,593.82, 641,201.19 and 227,876.98

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Solution

The fourth proportional to 427,593.82, 641,201.19 and 227,876.98 is: 341,714.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,593.82 : 641,201.19 = 227,876.98 : x
  2. Step 2: Convert to fraction form
    427,593.82/641,201.19 = 227,876.98/x
  3. Step 3: Cross multiply
    427,593.82x = 641,201.19 × 227,876.98
  4. Step 4: Simplify right side
    427,593.82x = 146,114,990,749.61
  5. Step 5: Solve for x
    x = 146,114,990,749.61/427,593.82
  6. Step 6: Final answer
    x = 341,714.46

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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.