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Finding the Fourth Proportional to 587,093.82, 880,363.17 and 227,433.14

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Solution

The fourth proportional to 587,093.82, 880,363.17 and 227,433.14 is: 341,042.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,093.82 : 880,363.17 = 227,433.14 : x
  2. Step 2: Convert to fraction form
    587,093.82/880,363.17 = 227,433.14/x
  3. Step 3: Cross multiply
    587,093.82x = 880,363.17 × 227,433.14
  4. Step 4: Simplify right side
    587,093.82x = 200,223,755,691.64
  5. Step 5: Solve for x
    x = 200,223,755,691.64/587,093.82
  6. Step 6: Final answer
    x = 341,042.18

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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.