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Finding the Fourth Proportional to 361,729.40, 499,189.38 and 200,575.04

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Solution

The fourth proportional to 361,729.40, 499,189.38 and 200,575.04 is: 276,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,729.40 : 499,189.38 = 200,575.04 : x
  2. Step 2: Convert to fraction form
    361,729.40/499,189.38 = 200,575.04/x
  3. Step 3: Cross multiply
    361,729.40x = 499,189.38 × 200,575.04
  4. Step 4: Simplify right side
    361,729.40x = 100,124,929,861.08
  5. Step 5: Solve for x
    x = 100,124,929,861.08/361,729.40
  6. Step 6: Final answer
    x = 276,795.11

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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.