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Finding the Fourth Proportional to 276,123.20, 413,601.60 and 276,123.20

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Solution

The fourth proportional to 276,123.20, 413,601.60 and 276,123.20 is: 413,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,123.20 : 413,601.60 = 276,123.20 : x
  2. Step 2: Convert to fraction form
    276,123.20/413,601.60 = 276,123.20/x
  3. Step 3: Cross multiply
    276,123.20x = 413,601.60 × 276,123.20
  4. Step 4: Simplify right side
    276,123.20x = 114,204,997,317.12
  5. Step 5: Solve for x
    x = 114,204,997,317.12/276,123.20
  6. Step 6: Final answer
    x = 413,601.60

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