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Finding the Fourth Proportional to 361,561.32, 498,958.79 and 200,419.11

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Solution

The fourth proportional to 361,561.32, 498,958.79 and 200,419.11 is: 276,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,561.32 : 498,958.79 = 200,419.11 : x
  2. Step 2: Convert to fraction form
    361,561.32/498,958.79 = 200,419.11/x
  3. Step 3: Cross multiply
    361,561.32x = 498,958.79 × 200,419.11
  4. Step 4: Simplify right side
    361,561.32x = 100,000,875,616.38
  5. Step 5: Solve for x
    x = 100,000,875,616.38/361,561.32
  6. Step 6: Final answer
    x = 276,580.68

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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.