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Finding the Fourth Proportional to 631,853.50, 947,946.21 and 227,086.56

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Solution

The fourth proportional to 631,853.50, 947,946.21 and 227,086.56 is: 340,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,853.50 : 947,946.21 = 227,086.56 : x
  2. Step 2: Convert to fraction form
    631,853.50/947,946.21 = 227,086.56/x
  3. Step 3: Cross multiply
    631,853.50x = 947,946.21 × 227,086.56
  4. Step 4: Simplify right side
    631,853.50x = 215,265,843,893.94
  5. Step 5: Solve for x
    x = 215,265,843,893.94/631,853.50
  6. Step 6: Final answer
    x = 340,689.49

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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.