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Finding the Fourth Proportional to 361,464.21, 498,874.41 and 208,473.84

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Solution

The fourth proportional to 361,464.21, 498,874.41 and 208,473.84 is: 287,724.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,464.21 : 498,874.41 = 208,473.84 : x
  2. Step 2: Convert to fraction form
    361,464.21/498,874.41 = 208,473.84/x
  3. Step 3: Cross multiply
    361,464.21x = 498,874.41 × 208,473.84
  4. Step 4: Simplify right side
    361,464.21x = 104,002,263,930.43
  5. Step 5: Solve for x
    x = 104,002,263,930.43/361,464.21
  6. Step 6: Final answer
    x = 287,724.93

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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.