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Finding the Fourth Proportional to 300,845.80, 415,141.14 and 171,783.64

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Solution

The fourth proportional to 300,845.80, 415,141.14 and 171,783.64 is: 237,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,845.80 : 415,141.14 = 171,783.64 : x
  2. Step 2: Convert to fraction form
    300,845.80/415,141.14 = 171,783.64/x
  3. Step 3: Cross multiply
    300,845.80x = 415,141.14 × 171,783.64
  4. Step 4: Simplify right side
    300,845.80x = 71,314,456,142.95
  5. Step 5: Solve for x
    x = 71,314,456,142.95/300,845.80
  6. Step 6: Final answer
    x = 237,046.54

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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.