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Finding the Fourth Proportional to 361,265.57, 498,546.51 and 200,131.06

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Solution

The fourth proportional to 361,265.57, 498,546.51 and 200,131.06 is: 276,180.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,265.57 : 498,546.51 = 200,131.06 : x
  2. Step 2: Convert to fraction form
    361,265.57/498,546.51 = 200,131.06/x
  3. Step 3: Cross multiply
    361,265.57x = 498,546.51 × 200,131.06
  4. Step 4: Simplify right side
    361,265.57x = 99,774,638,012.21
  5. Step 5: Solve for x
    x = 99,774,638,012.21/361,265.57
  6. Step 6: Final answer
    x = 276,180.87

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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.