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Finding the Fourth Proportional to 334,912.56, 501,843.75 and 284,786.52

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Solution

The fourth proportional to 334,912.56, 501,843.75 and 284,786.52 is: 426,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,912.56 : 501,843.75 = 284,786.52 : x
  2. Step 2: Convert to fraction form
    334,912.56/501,843.75 = 284,786.52/x
  3. Step 3: Cross multiply
    334,912.56x = 501,843.75 × 284,786.52
  4. Step 4: Simplify right side
    334,912.56x = 142,918,335,146.25
  5. Step 5: Solve for x
    x = 142,918,335,146.25/334,912.56
  6. Step 6: Final answer
    x = 426,733.28

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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.