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Finding the Fourth Proportional to 361,926.69, 499,459.42 and 200,781.75

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Solution

The fourth proportional to 361,926.69, 499,459.42 and 200,781.75 is: 277,079.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,926.69 : 499,459.42 = 200,781.75 : x
  2. Step 2: Convert to fraction form
    361,926.69/499,459.42 = 200,781.75/x
  3. Step 3: Cross multiply
    361,926.69x = 499,459.42 × 200,781.75
  4. Step 4: Simplify right side
    361,926.69x = 100,282,333,904.29
  5. Step 5: Solve for x
    x = 100,282,333,904.29/361,926.69
  6. Step 6: Final answer
    x = 277,079.13

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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.