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Finding the Fourth Proportional to 361,977.88, 499,589.46 and 200,884.70

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Solution

The fourth proportional to 361,977.88, 499,589.46 and 200,884.70 is: 277,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,977.88 : 499,589.46 = 200,884.70 : x
  2. Step 2: Convert to fraction form
    361,977.88/499,589.46 = 200,884.70/x
  3. Step 3: Cross multiply
    361,977.88x = 499,589.46 × 200,884.70
  4. Step 4: Simplify right side
    361,977.88x = 100,359,878,795.26
  5. Step 5: Solve for x
    x = 100,359,878,795.26/361,977.88
  6. Step 6: Final answer
    x = 277,254.18

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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.