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Finding the Fourth Proportional to 361,609.72, 498,975.30 and 200,463.32

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Solution

The fourth proportional to 361,609.72, 498,975.30 and 200,463.32 is: 276,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,609.72 : 498,975.30 = 200,463.32 : x
  2. Step 2: Convert to fraction form
    361,609.72/498,975.30 = 200,463.32/x
  3. Step 3: Cross multiply
    361,609.72x = 498,975.30 × 200,463.32
  4. Step 4: Simplify right side
    361,609.72x = 100,026,245,236.00
  5. Step 5: Solve for x
    x = 100,026,245,236.00/361,609.72
  6. Step 6: Final answer
    x = 276,613.82

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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.