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Finding the Fourth Proportional to 299,634.80, 449,743.40 and 233,791.60

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Solution

The fourth proportional to 299,634.80, 449,743.40 and 233,791.60 is: 350,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,634.80 : 449,743.40 = 233,791.60 : x
  2. Step 2: Convert to fraction form
    299,634.80/449,743.40 = 233,791.60/x
  3. Step 3: Cross multiply
    299,634.80x = 449,743.40 × 233,791.60
  4. Step 4: Simplify right side
    299,634.80x = 105,146,229,075.44
  5. Step 5: Solve for x
    x = 105,146,229,075.44/299,634.80
  6. Step 6: Final answer
    x = 350,914.61

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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.