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Finding the Fourth Proportional to 361,838.54, 499,010.49 and 225,885.02

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Solution

The fourth proportional to 361,838.54, 499,010.49 and 225,885.02 is: 311,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,838.54 : 499,010.49 = 225,885.02 : x
  2. Step 2: Convert to fraction form
    361,838.54/499,010.49 = 225,885.02/x
  3. Step 3: Cross multiply
    361,838.54x = 499,010.49 × 225,885.02
  4. Step 4: Simplify right side
    361,838.54x = 112,718,994,513.86
  5. Step 5: Solve for x
    x = 112,718,994,513.86/361,838.54
  6. Step 6: Final answer
    x = 311,517.38

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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.