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Finding the Fourth Proportional to 361,841.07, 499,400.47 and 200,748.02

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Solution

The fourth proportional to 361,841.07, 499,400.47 and 200,748.02 is: 277,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,841.07 : 499,400.47 = 200,748.02 : x
  2. Step 2: Convert to fraction form
    361,841.07/499,400.47 = 200,748.02/x
  3. Step 3: Cross multiply
    361,841.07x = 499,400.47 × 200,748.02
  4. Step 4: Simplify right side
    361,841.07x = 100,253,655,539.57
  5. Step 5: Solve for x
    x = 100,253,655,539.57/361,841.07
  6. Step 6: Final answer
    x = 277,065.44

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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.