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Finding the Fourth Proportional to 362,016.61, 499,582.86 and 200,872.78

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Solution

The fourth proportional to 362,016.61, 499,582.86 and 200,872.78 is: 277,204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,016.61 : 499,582.86 = 200,872.78 : x
  2. Step 2: Convert to fraction form
    362,016.61/499,582.86 = 200,872.78/x
  3. Step 3: Cross multiply
    362,016.61x = 499,582.86 × 200,872.78
  4. Step 4: Simplify right side
    362,016.61x = 100,352,597,928.55
  5. Step 5: Solve for x
    x = 100,352,597,928.55/362,016.61
  6. Step 6: Final answer
    x = 277,204.40

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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.