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Finding the Fourth Proportional to 361,533.68, 498,946.36 and 200,439.26

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Solution

The fourth proportional to 361,533.68, 498,946.36 and 200,439.26 is: 276,622.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,533.68 : 498,946.36 = 200,439.26 : x
  2. Step 2: Convert to fraction form
    361,533.68/498,946.36 = 200,439.26/x
  3. Step 3: Cross multiply
    361,533.68x = 498,946.36 × 200,439.26
  4. Step 4: Simplify right side
    361,533.68x = 100,008,439,178.09
  5. Step 5: Solve for x
    x = 100,008,439,178.09/361,533.68
  6. Step 6: Final answer
    x = 276,622.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.