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Finding the Fourth Proportional to 354,843.38, 489,610.74 and 203,911.22

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Solution

The fourth proportional to 354,843.38, 489,610.74 and 203,911.22 is: 281,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,843.38 : 489,610.74 = 203,911.22 : x
  2. Step 2: Convert to fraction form
    354,843.38/489,610.74 = 203,911.22/x
  3. Step 3: Cross multiply
    354,843.38x = 489,610.74 × 203,911.22
  4. Step 4: Simplify right side
    354,843.38x = 99,837,123,318.50
  5. Step 5: Solve for x
    x = 99,837,123,318.50/354,843.38
  6. Step 6: Final answer
    x = 281,355.46

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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.