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Finding the Fourth Proportional to 276,082.60, 414,561.30 and 201,724.60

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Solution

The fourth proportional to 276,082.60, 414,561.30 and 201,724.60 is: 302,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,082.60 : 414,561.30 = 201,724.60 : x
  2. Step 2: Convert to fraction form
    276,082.60/414,561.30 = 201,724.60/x
  3. Step 3: Cross multiply
    276,082.60x = 414,561.30 × 201,724.60
  4. Step 4: Simplify right side
    276,082.60x = 83,627,212,417.98
  5. Step 5: Solve for x
    x = 83,627,212,417.98/276,082.60
  6. Step 6: Final answer
    x = 302,906.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.