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Finding the Fourth Proportional to 361,076.80, 498,131.60 and 217,755.36

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Solution

The fourth proportional to 361,076.80, 498,131.60 and 217,755.36 is: 300,409.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,076.80 : 498,131.60 = 217,755.36 : x
  2. Step 2: Convert to fraction form
    361,076.80/498,131.60 = 217,755.36/x
  3. Step 3: Cross multiply
    361,076.80x = 498,131.60 × 217,755.36
  4. Step 4: Simplify right side
    361,076.80x = 108,470,825,885.38
  5. Step 5: Solve for x
    x = 108,470,825,885.38/361,076.80
  6. Step 6: Final answer
    x = 300,409.29

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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.