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Finding the Fourth Proportional to 598,096.78, 825,363.21 and 326,166.82

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Solution

The fourth proportional to 598,096.78, 825,363.21 and 326,166.82 is: 450,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,096.78 : 825,363.21 = 326,166.82 : x
  2. Step 2: Convert to fraction form
    598,096.78/825,363.21 = 326,166.82/x
  3. Step 3: Cross multiply
    598,096.78x = 825,363.21 × 326,166.82
  4. Step 4: Simplify right side
    598,096.78x = 269,206,093,550.69
  5. Step 5: Solve for x
    x = 269,206,093,550.69/598,096.78
  6. Step 6: Final answer
    x = 450,104.57

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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.