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Finding the Fourth Proportional to 344,517.76, 475,391.76 and 199,348.48

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Solution

The fourth proportional to 344,517.76, 475,391.76 and 199,348.48 is: 275,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,517.76 : 475,391.76 = 199,348.48 : x
  2. Step 2: Convert to fraction form
    344,517.76/475,391.76 = 199,348.48/x
  3. Step 3: Cross multiply
    344,517.76x = 475,391.76 × 199,348.48
  4. Step 4: Simplify right side
    344,517.76x = 94,768,624,760.52
  5. Step 5: Solve for x
    x = 94,768,624,760.52/344,517.76
  6. Step 6: Final answer
    x = 275,076.17

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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.