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Finding the Fourth Proportional to 408,644.46, 612,960.53 and 183,846.14

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Solution

The fourth proportional to 408,644.46, 612,960.53 and 183,846.14 is: 275,766.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,644.46 : 612,960.53 = 183,846.14 : x
  2. Step 2: Convert to fraction form
    408,644.46/612,960.53 = 183,846.14/x
  3. Step 3: Cross multiply
    408,644.46x = 612,960.53 × 183,846.14
  4. Step 4: Simplify right side
    408,644.46x = 112,690,427,412.85
  5. Step 5: Solve for x
    x = 112,690,427,412.85/408,644.46
  6. Step 6: Final answer
    x = 275,766.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.