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Finding the Fourth Proportional to 361,704.16, 499,157.72 and 200,566

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Solution

The fourth proportional to 361,704.16, 499,157.72 and 200,566 is: 276,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,704.16 : 499,157.72 = 200,566 : x
  2. Step 2: Convert to fraction form
    361,704.16/499,157.72 = 200,566/x
  3. Step 3: Cross multiply
    361,704.16x = 499,157.72 × 200,566
  4. Step 4: Simplify right side
    361,704.16x = 100,114,067,269.52
  5. Step 5: Solve for x
    x = 100,114,067,269.52/361,704.16
  6. Step 6: Final answer
    x = 276,784.40

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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.