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Finding the Fourth Proportional to 361,298.36, 498,619.86 and 200,168.30

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Solution

The fourth proportional to 361,298.36, 498,619.86 and 200,168.30 is: 276,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,298.36 : 498,619.86 = 200,168.30 : x
  2. Step 2: Convert to fraction form
    361,298.36/498,619.86 = 200,168.30/x
  3. Step 3: Cross multiply
    361,298.36x = 498,619.86 × 200,168.30
  4. Step 4: Simplify right side
    361,298.36x = 99,807,889,722.44
  5. Step 5: Solve for x
    x = 99,807,889,722.44/361,298.36
  6. Step 6: Final answer
    x = 276,247.83

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1.5x scale

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.