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Finding the Fourth Proportional to 339,904.70, 509,857.05 and 162,757.70

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Solution

The fourth proportional to 339,904.70, 509,857.05 and 162,757.70 is: 244,136.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,904.70 : 509,857.05 = 162,757.70 : x
  2. Step 2: Convert to fraction form
    339,904.70/509,857.05 = 162,757.70/x
  3. Step 3: Cross multiply
    339,904.70x = 509,857.05 × 162,757.70
  4. Step 4: Simplify right side
    339,904.70x = 82,983,160,786.79
  5. Step 5: Solve for x
    x = 82,983,160,786.79/339,904.70
  6. Step 6: Final answer
    x = 244,136.55

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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.