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Finding the Fourth Proportional to 361,848.53, 499,410.77 and 200,755.46

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Solution

The fourth proportional to 361,848.53, 499,410.77 and 200,755.46 is: 277,075.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,848.53 : 499,410.77 = 200,755.46 : x
  2. Step 2: Convert to fraction form
    361,848.53/499,410.77 = 200,755.46/x
  3. Step 3: Cross multiply
    361,848.53x = 499,410.77 × 200,755.46
  4. Step 4: Simplify right side
    361,848.53x = 100,259,439,105.05
  5. Step 5: Solve for x
    x = 100,259,439,105.05/361,848.53
  6. Step 6: Final answer
    x = 277,075.71

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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.