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Finding the Fourth Proportional to 490,144.30, 676,401.82 and 275,284.38

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Solution

The fourth proportional to 490,144.30, 676,401.82 and 275,284.38 is: 379,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,144.30 : 676,401.82 = 275,284.38 : x
  2. Step 2: Convert to fraction form
    490,144.30/676,401.82 = 275,284.38/x
  3. Step 3: Cross multiply
    490,144.30x = 676,401.82 × 275,284.38
  4. Step 4: Simplify right side
    490,144.30x = 186,202,855,649.57
  5. Step 5: Solve for x
    x = 186,202,855,649.57/490,144.30
  6. Step 6: Final answer
    x = 379,893.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.