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Finding the Fourth Proportional to 276,682.80, 415,024.20 and 276,682.80

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Solution

The fourth proportional to 276,682.80, 415,024.20 and 276,682.80 is: 415,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,682.80 : 415,024.20 = 276,682.80 : x
  2. Step 2: Convert to fraction form
    276,682.80/415,024.20 = 276,682.80/x
  3. Step 3: Cross multiply
    276,682.80x = 415,024.20 × 276,682.80
  4. Step 4: Simplify right side
    276,682.80x = 114,830,057,723.76
  5. Step 5: Solve for x
    x = 114,830,057,723.76/276,682.80
  6. Step 6: Final answer
    x = 415,024.20

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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.