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Finding the Fourth Proportional to 522,736, 784,104 and 227,248

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Solution

The fourth proportional to 522,736, 784,104 and 227,248 is: 340,872

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,736 : 784,104 = 227,248 : x
  2. Step 2: Convert to fraction form
    522,736/784,104 = 227,248/x
  3. Step 3: Cross multiply
    522,736x = 784,104 × 227,248
  4. Step 4: Simplify right side
    522,736x = 178,186,065,792
  5. Step 5: Solve for x
    x = 178,186,065,792/522,736
  6. Step 6: Final answer
    x = 340,872

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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.