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Finding the Fourth Proportional to 489,758.44, 675,814.76 and 274,922.14

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Solution

The fourth proportional to 489,758.44, 675,814.76 and 274,922.14 is: 379,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,758.44 : 675,814.76 = 274,922.14 : x
  2. Step 2: Convert to fraction form
    489,758.44/675,814.76 = 274,922.14/x
  3. Step 3: Cross multiply
    489,758.44x = 675,814.76 × 274,922.14
  4. Step 4: Simplify right side
    489,758.44x = 185,796,440,062.79
  5. Step 5: Solve for x
    x = 185,796,440,062.79/489,758.44
  6. Step 6: Final answer
    x = 379,363.43

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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.