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Finding the Fourth Proportional to 369,976.50, 510,571.26 and 200,214.27

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Solution

The fourth proportional to 369,976.50, 510,571.26 and 200,214.27 is: 276,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,976.50 : 510,571.26 = 200,214.27 : x
  2. Step 2: Convert to fraction form
    369,976.50/510,571.26 = 200,214.27/x
  3. Step 3: Cross multiply
    369,976.50x = 510,571.26 × 200,214.27
  4. Step 4: Simplify right side
    369,976.50x = 102,223,652,103.88
  5. Step 5: Solve for x
    x = 102,223,652,103.88/369,976.50
  6. Step 6: Final answer
    x = 276,297.69

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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.