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Finding the Fourth Proportional to 309,202.72, 465,910.31 and 254,273.18

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Solution

The fourth proportional to 309,202.72, 465,910.31 and 254,273.18 is: 383,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,202.72 : 465,910.31 = 254,273.18 : x
  2. Step 2: Convert to fraction form
    309,202.72/465,910.31 = 254,273.18/x
  3. Step 3: Cross multiply
    309,202.72x = 465,910.31 × 254,273.18
  4. Step 4: Simplify right side
    309,202.72x = 118,468,494,424.62
  5. Step 5: Solve for x
    x = 118,468,494,424.62/309,202.72
  6. Step 6: Final answer
    x = 383,141.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.