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Finding the Fourth Proportional to 276,003.40, 414,005.10 and 171,027.40

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Solution

The fourth proportional to 276,003.40, 414,005.10 and 171,027.40 is: 256,541.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,003.40 : 414,005.10 = 171,027.40 : x
  2. Step 2: Convert to fraction form
    276,003.40/414,005.10 = 171,027.40/x
  3. Step 3: Cross multiply
    276,003.40x = 414,005.10 × 171,027.40
  4. Step 4: Simplify right side
    276,003.40x = 70,806,215,839.74
  5. Step 5: Solve for x
    x = 70,806,215,839.74/276,003.40
  6. Step 6: Final answer
    x = 256,541.10

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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.