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Finding the Fourth Proportional to 361,929.05, 499,462.68 and 200,784.11

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Solution

The fourth proportional to 361,929.05, 499,462.68 and 200,784.11 is: 277,082.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,929.05 : 499,462.68 = 200,784.11 : x
  2. Step 2: Convert to fraction form
    361,929.05/499,462.68 = 200,784.11/x
  3. Step 3: Cross multiply
    361,929.05x = 499,462.68 × 200,784.11
  4. Step 4: Simplify right side
    361,929.05x = 100,284,167,184.70
  5. Step 5: Solve for x
    x = 100,284,167,184.70/361,929.05
  6. Step 6: Final answer
    x = 277,082.39

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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.