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Finding the Fourth Proportional to 312,241.38, 430,787.37 and 203,295.97

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Solution

The fourth proportional to 312,241.38, 430,787.37 and 203,295.97 is: 280,479.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,241.38 : 430,787.37 = 203,295.97 : x
  2. Step 2: Convert to fraction form
    312,241.38/430,787.37 = 203,295.97/x
  3. Step 3: Cross multiply
    312,241.38x = 430,787.37 × 203,295.97
  4. Step 4: Simplify right side
    312,241.38x = 87,577,336,247.90
  5. Step 5: Solve for x
    x = 87,577,336,247.90/312,241.38
  6. Step 6: Final answer
    x = 280,479.60

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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.