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Finding the Fourth Proportional to 523,634.82, 784,787.22 and 270,867.84

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Solution

The fourth proportional to 523,634.82, 784,787.22 and 270,867.84 is: 405,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,634.82 : 784,787.22 = 270,867.84 : x
  2. Step 2: Convert to fraction form
    523,634.82/784,787.22 = 270,867.84/x
  3. Step 3: Cross multiply
    523,634.82x = 784,787.22 × 270,867.84
  4. Step 4: Simplify right side
    523,634.82x = 212,573,619,141.01
  5. Step 5: Solve for x
    x = 212,573,619,141.01/523,634.82
  6. Step 6: Final answer
    x = 405,957.76

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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.