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Finding the Fourth Proportional to 395,371.96, 545,614.32 and 214,086.13

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Solution

The fourth proportional to 395,371.96, 545,614.32 and 214,086.13 is: 295,439.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,371.96 : 545,614.32 = 214,086.13 : x
  2. Step 2: Convert to fraction form
    395,371.96/545,614.32 = 214,086.13/x
  3. Step 3: Cross multiply
    395,371.96x = 545,614.32 × 214,086.13
  4. Step 4: Simplify right side
    395,371.96x = 116,808,458,241.38
  5. Step 5: Solve for x
    x = 116,808,458,241.38/395,371.96
  6. Step 6: Final answer
    x = 295,439.41

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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.