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Finding the Fourth Proportional to 344,137.85, 474,827.14 and 200,816.09

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Solution

The fourth proportional to 344,137.85, 474,827.14 and 200,816.09 is: 277,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,137.85 : 474,827.14 = 200,816.09 : x
  2. Step 2: Convert to fraction form
    344,137.85/474,827.14 = 200,816.09/x
  3. Step 3: Cross multiply
    344,137.85x = 474,827.14 × 200,816.09
  4. Step 4: Simplify right side
    344,137.85x = 95,352,929,680.68
  5. Step 5: Solve for x
    x = 95,352,929,680.68/344,137.85
  6. Step 6: Final answer
    x = 277,077.72

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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.