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Finding the Fourth Proportional to 380,734.38, 525,274.43 and 227,776.97

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Solution

The fourth proportional to 380,734.38, 525,274.43 and 227,776.97 is: 314,249.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,734.38 : 525,274.43 = 227,776.97 : x
  2. Step 2: Convert to fraction form
    380,734.38/525,274.43 = 227,776.97/x
  3. Step 3: Cross multiply
    380,734.38x = 525,274.43 × 227,776.97
  4. Step 4: Simplify right side
    380,734.38x = 119,645,414,318.62
  5. Step 5: Solve for x
    x = 119,645,414,318.62/380,734.38
  6. Step 6: Final answer
    x = 314,249.04

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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.