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Finding the Fourth Proportional to 309,654.97, 427,327.45 and 171,836.78

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Solution

The fourth proportional to 309,654.97, 427,327.45 and 171,836.78 is: 237,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,654.97 : 427,327.45 = 171,836.78 : x
  2. Step 2: Convert to fraction form
    309,654.97/427,327.45 = 171,836.78/x
  3. Step 3: Cross multiply
    309,654.97x = 427,327.45 × 171,836.78
  4. Step 4: Simplify right side
    309,654.97x = 73,430,570,447.38
  5. Step 5: Solve for x
    x = 73,430,570,447.38/309,654.97
  6. Step 6: Final answer
    x = 237,136.74

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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.