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Finding the Fourth Proportional to 380,190.62, 524,627.50 and 227,198.45

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Solution

The fourth proportional to 380,190.62, 524,627.50 and 227,198.45 is: 313,512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,190.62 : 524,627.50 = 227,198.45 : x
  2. Step 2: Convert to fraction form
    380,190.62/524,627.50 = 227,198.45/x
  3. Step 3: Cross multiply
    380,190.62x = 524,627.50 × 227,198.45
  4. Step 4: Simplify right side
    380,190.62x = 119,194,554,827.38
  5. Step 5: Solve for x
    x = 119,194,554,827.38/380,190.62
  6. Step 6: Final answer
    x = 313,512.61

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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.