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Finding the Fourth Proportional to 309,799.50, 463,796.63 and 230,190.31

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Solution

The fourth proportional to 309,799.50, 463,796.63 and 230,190.31 is: 344,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,799.50 : 463,796.63 = 230,190.31 : x
  2. Step 2: Convert to fraction form
    309,799.50/463,796.63 = 230,190.31/x
  3. Step 3: Cross multiply
    309,799.50x = 463,796.63 × 230,190.31
  4. Step 4: Simplify right side
    309,799.50x = 106,761,489,014.63
  5. Step 5: Solve for x
    x = 106,761,489,014.63/309,799.50
  6. Step 6: Final answer
    x = 344,614.79

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