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Finding the Fourth Proportional to 276,082.60, 413,905.20 and 151,423.60

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Solution

The fourth proportional to 276,082.60, 413,905.20 and 151,423.60 is: 227,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,082.60 : 413,905.20 = 151,423.60 : x
  2. Step 2: Convert to fraction form
    276,082.60/413,905.20 = 151,423.60/x
  3. Step 3: Cross multiply
    276,082.60x = 413,905.20 × 151,423.60
  4. Step 4: Simplify right side
    276,082.60x = 62,675,015,442.72
  5. Step 5: Solve for x
    x = 62,675,015,442.72/276,082.60
  6. Step 6: Final answer
    x = 227,015.45

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1.5x scale

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.