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Finding the Fourth Proportional to 361,277.77, 498,563.22 and 200,143.27

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Solution

The fourth proportional to 361,277.77, 498,563.22 and 200,143.27 is: 276,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,277.77 : 498,563.22 = 200,143.27 : x
  2. Step 2: Convert to fraction form
    361,277.77/498,563.22 = 200,143.27/x
  3. Step 3: Cross multiply
    361,277.77x = 498,563.22 × 200,143.27
  4. Step 4: Simplify right side
    361,277.77x = 99,784,073,152.53
  5. Step 5: Solve for x
    x = 99,784,073,152.53/361,277.77
  6. Step 6: Final answer
    x = 276,197.66

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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.