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Finding the Fourth Proportional to 361,353.54, 498,683.85 and 200,208.55

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Solution

The fourth proportional to 361,353.54, 498,683.85 and 200,208.55 is: 276,296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,353.54 : 498,683.85 = 200,208.55 : x
  2. Step 2: Convert to fraction form
    361,353.54/498,683.85 = 200,208.55/x
  3. Step 3: Cross multiply
    361,353.54x = 498,683.85 × 200,208.55
  4. Step 4: Simplify right side
    361,353.54x = 99,840,770,516.92
  5. Step 5: Solve for x
    x = 99,840,770,516.92/361,353.54
  6. Step 6: Final answer
    x = 276,296.64

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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.