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Finding the Fourth Proportional to 276,734.92, 415,270.38 and 110,509

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Solution

The fourth proportional to 276,734.92, 415,270.38 and 110,509 is: 165,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,734.92 : 415,270.38 = 110,509 : x
  2. Step 2: Convert to fraction form
    276,734.92/415,270.38 = 110,509/x
  3. Step 3: Cross multiply
    276,734.92x = 415,270.38 × 110,509
  4. Step 4: Simplify right side
    276,734.92x = 45,891,114,423.42
  5. Step 5: Solve for x
    x = 45,891,114,423.42/276,734.92
  6. Step 6: Final answer
    x = 165,830.59

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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.