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Finding the Fourth Proportional to 361,855.65, 499,336.32 and 200,704.53

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Solution

The fourth proportional to 361,855.65, 499,336.32 and 200,704.53 is: 276,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,855.65 : 499,336.32 = 200,704.53 : x
  2. Step 2: Convert to fraction form
    361,855.65/499,336.32 = 200,704.53/x
  3. Step 3: Cross multiply
    361,855.65x = 499,336.32 × 200,704.53
  4. Step 4: Simplify right side
    361,855.65x = 100,219,061,417.53
  5. Step 5: Solve for x
    x = 100,219,061,417.53/361,855.65
  6. Step 6: Final answer
    x = 276,958.68

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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.