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Finding the Fourth Proportional to 276,043.60, 413,190.60 and 197,311.60

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Solution

The fourth proportional to 276,043.60, 413,190.60 and 197,311.60 is: 295,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,043.60 : 413,190.60 = 197,311.60 : x
  2. Step 2: Convert to fraction form
    276,043.60/413,190.60 = 197,311.60/x
  3. Step 3: Cross multiply
    276,043.60x = 413,190.60 × 197,311.60
  4. Step 4: Simplify right side
    276,043.60x = 81,527,298,390.96
  5. Step 5: Solve for x
    x = 81,527,298,390.96/276,043.60
  6. Step 6: Final answer
    x = 295,342.11

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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.