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Finding the Fourth Proportional to 369,963.90, 510,551.53 and 200,198.03

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Solution

The fourth proportional to 369,963.90, 510,551.53 and 200,198.03 is: 276,274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,963.90 : 510,551.53 = 200,198.03 : x
  2. Step 2: Convert to fraction form
    369,963.90/510,551.53 = 200,198.03/x
  3. Step 3: Cross multiply
    369,963.90x = 510,551.53 × 200,198.03
  4. Step 4: Simplify right side
    369,963.90x = 102,211,410,519.49
  5. Step 5: Solve for x
    x = 102,211,410,519.49/369,963.90
  6. Step 6: Final answer
    x = 276,274.01

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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.