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Finding the Fourth Proportional to 362,123.87, 499,724.03 and 200,980.85

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Solution

The fourth proportional to 362,123.87, 499,724.03 and 200,980.85 is: 277,349.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,123.87 : 499,724.03 = 200,980.85 : x
  2. Step 2: Convert to fraction form
    362,123.87/499,724.03 = 200,980.85/x
  3. Step 3: Cross multiply
    362,123.87x = 499,724.03 × 200,980.85
  4. Step 4: Simplify right side
    362,123.87x = 100,434,958,318.66
  5. Step 5: Solve for x
    x = 100,434,958,318.66/362,123.87
  6. Step 6: Final answer
    x = 277,349.74

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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.