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Finding the Fourth Proportional to 361,324.84, 498,587.94 and 200,139.90

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Solution

The fourth proportional to 361,324.84, 498,587.94 and 200,139.90 is: 276,170.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,324.84 : 498,587.94 = 200,139.90 : x
  2. Step 2: Convert to fraction form
    361,324.84/498,587.94 = 200,139.90/x
  3. Step 3: Cross multiply
    361,324.84x = 498,587.94 × 200,139.90
  4. Step 4: Simplify right side
    361,324.84x = 99,787,340,452.81
  5. Step 5: Solve for x
    x = 99,787,340,452.81/361,324.84
  6. Step 6: Final answer
    x = 276,170.72

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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.