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Finding the Fourth Proportional to 354,824.38, 489,584.55 and 203,892.22

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Solution

The fourth proportional to 354,824.38, 489,584.55 and 203,892.22 is: 281,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,824.38 : 489,584.55 = 203,892.22 : x
  2. Step 2: Convert to fraction form
    354,824.38/489,584.55 = 203,892.22/x
  3. Step 3: Cross multiply
    354,824.38x = 489,584.55 × 203,892.22
  4. Step 4: Simplify right side
    354,824.38x = 99,822,480,777.20
  5. Step 5: Solve for x
    x = 99,822,480,777.20/354,824.38
  6. Step 6: Final answer
    x = 281,329.26

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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.