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Finding the Fourth Proportional to 499,832.60, 749,092.80 and 200,067.80

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Solution

The fourth proportional to 499,832.60, 749,092.80 and 200,067.80 is: 299,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,832.60 : 749,092.80 = 200,067.80 : x
  2. Step 2: Convert to fraction form
    499,832.60/749,092.80 = 200,067.80/x
  3. Step 3: Cross multiply
    499,832.60x = 749,092.80 × 200,067.80
  4. Step 4: Simplify right side
    499,832.60x = 149,869,348,491.84
  5. Step 5: Solve for x
    x = 149,869,348,491.84/499,832.60
  6. Step 6: Final answer
    x = 299,839.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.