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Finding the Fourth Proportional to 276,423.44, 414,086.58 and 213,023.52

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Solution

The fourth proportional to 276,423.44, 414,086.58 and 213,023.52 is: 319,112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,423.44 : 414,086.58 = 213,023.52 : x
  2. Step 2: Convert to fraction form
    276,423.44/414,086.58 = 213,023.52/x
  3. Step 3: Cross multiply
    276,423.44x = 414,086.58 × 213,023.52
  4. Step 4: Simplify right side
    276,423.44x = 88,210,180,856.36
  5. Step 5: Solve for x
    x = 88,210,180,856.36/276,423.44
  6. Step 6: Final answer
    x = 319,112.53

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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.