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Finding the Fourth Proportional to 314,796.42, 434,406.42 and 171,553.44

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Solution

The fourth proportional to 314,796.42, 434,406.42 and 171,553.44 is: 236,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,796.42 : 434,406.42 = 171,553.44 : x
  2. Step 2: Convert to fraction form
    314,796.42/434,406.42 = 171,553.44/x
  3. Step 3: Cross multiply
    314,796.42x = 434,406.42 × 171,553.44
  4. Step 4: Simplify right side
    314,796.42x = 74,523,915,709.08
  5. Step 5: Solve for x
    x = 74,523,915,709.08/314,796.42
  6. Step 6: Final answer
    x = 236,736.86

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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.