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Finding the Fourth Proportional to 276,838.40, 414,566.40 and 182,835.20

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Solution

The fourth proportional to 276,838.40, 414,566.40 and 182,835.20 is: 273,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,838.40 : 414,566.40 = 182,835.20 : x
  2. Step 2: Convert to fraction form
    276,838.40/414,566.40 = 182,835.20/x
  3. Step 3: Cross multiply
    276,838.40x = 414,566.40 × 182,835.20
  4. Step 4: Simplify right side
    276,838.40x = 75,797,330,657.28
  5. Step 5: Solve for x
    x = 75,797,330,657.28/276,838.40
  6. Step 6: Final answer
    x = 273,796.30

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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.