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Finding the Fourth Proportional to 522,243.34, 783,321.27 and 206,615.50

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Solution

The fourth proportional to 522,243.34, 783,321.27 and 206,615.50 is: 309,905.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,243.34 : 783,321.27 = 206,615.50 : x
  2. Step 2: Convert to fraction form
    522,243.34/783,321.27 = 206,615.50/x
  3. Step 3: Cross multiply
    522,243.34x = 783,321.27 × 206,615.50
  4. Step 4: Simplify right side
    522,243.34x = 161,846,315,861.69
  5. Step 5: Solve for x
    x = 161,846,315,861.69/522,243.34
  6. Step 6: Final answer
    x = 309,905.95

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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.