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Finding the Fourth Proportional to 392,219.42, 588,644.44 and 202,735.36

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Solution

The fourth proportional to 392,219.42, 588,644.44 and 202,735.36 is: 304,266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,219.42 : 588,644.44 = 202,735.36 : x
  2. Step 2: Convert to fraction form
    392,219.42/588,644.44 = 202,735.36/x
  3. Step 3: Cross multiply
    392,219.42x = 588,644.44 × 202,735.36
  4. Step 4: Simplify right side
    392,219.42x = 119,339,042,684.37
  5. Step 5: Solve for x
    x = 119,339,042,684.37/392,219.42
  6. Step 6: Final answer
    x = 304,266.03

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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.