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Finding the Fourth Proportional to 522,757.28, 784,200.72 and 148,809.44

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Solution

The fourth proportional to 522,757.28, 784,200.72 and 148,809.44 is: 223,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,757.28 : 784,200.72 = 148,809.44 : x
  2. Step 2: Convert to fraction form
    522,757.28/784,200.72 = 148,809.44/x
  3. Step 3: Cross multiply
    522,757.28x = 784,200.72 × 148,809.44
  4. Step 4: Simplify right side
    522,757.28x = 116,696,469,990.80
  5. Step 5: Solve for x
    x = 116,696,469,990.80/522,757.28
  6. Step 6: Final answer
    x = 223,232.61

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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.