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Finding the Fourth Proportional to 344,551.41, 475,507.50 and 206,735.48

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Solution

The fourth proportional to 344,551.41, 475,507.50 and 206,735.48 is: 285,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,551.41 : 475,507.50 = 206,735.48 : x
  2. Step 2: Convert to fraction form
    344,551.41/475,507.50 = 206,735.48/x
  3. Step 3: Cross multiply
    344,551.41x = 475,507.50 × 206,735.48
  4. Step 4: Simplify right side
    344,551.41x = 98,304,268,878.56
  5. Step 5: Solve for x
    x = 98,304,268,878.56/344,551.41
  6. Step 6: Final answer
    x = 285,310.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.