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Finding the Fourth Proportional to 522,722, 784,083 and 227,234

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Solution

The fourth proportional to 522,722, 784,083 and 227,234 is: 340,851

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,722 : 784,083 = 227,234 : x
  2. Step 2: Convert to fraction form
    522,722/784,083 = 227,234/x
  3. Step 3: Cross multiply
    522,722x = 784,083 × 227,234
  4. Step 4: Simplify right side
    522,722x = 178,170,316,422
  5. Step 5: Solve for x
    x = 178,170,316,422/522,722
  6. Step 6: Final answer
    x = 340,851

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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.