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Finding the Fourth Proportional to 276,906.60, 415,359.90 and 150,935.40

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Solution

The fourth proportional to 276,906.60, 415,359.90 and 150,935.40 is: 226,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,906.60 : 415,359.90 = 150,935.40 : x
  2. Step 2: Convert to fraction form
    276,906.60/415,359.90 = 150,935.40/x
  3. Step 3: Cross multiply
    276,906.60x = 415,359.90 × 150,935.40
  4. Step 4: Simplify right side
    276,906.60x = 62,692,512,650.46
  5. Step 5: Solve for x
    x = 62,692,512,650.46/276,906.60
  6. Step 6: Final answer
    x = 226,403.10

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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.