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Finding the Fourth Proportional to 276,499.18, 414,865.41 and 164,393.56

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Solution

The fourth proportional to 276,499.18, 414,865.41 and 164,393.56 is: 246,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,499.18 : 414,865.41 = 164,393.56 : x
  2. Step 2: Convert to fraction form
    276,499.18/414,865.41 = 164,393.56/x
  3. Step 3: Cross multiply
    276,499.18x = 414,865.41 × 164,393.56
  4. Step 4: Simplify right side
    276,499.18x = 68,201,201,670.76
  5. Step 5: Solve for x
    x = 68,201,201,670.76/276,499.18
  6. Step 6: Final answer
    x = 246,659.69

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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.