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Finding the Fourth Proportional to 363,787.98, 502,007.94 and 200,439.42

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Solution

The fourth proportional to 363,787.98, 502,007.94 and 200,439.42 is: 276,595.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,787.98 : 502,007.94 = 200,439.42 : x
  2. Step 2: Convert to fraction form
    363,787.98/502,007.94 = 200,439.42/x
  3. Step 3: Cross multiply
    363,787.98x = 502,007.94 × 200,439.42
  4. Step 4: Simplify right side
    363,787.98x = 100,622,180,329.00
  5. Step 5: Solve for x
    x = 100,622,180,329.00/363,787.98
  6. Step 6: Final answer
    x = 276,595.67

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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.