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Finding the Fourth Proportional to 443,451.76, 665,243.26 and 162,947.14

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Solution

The fourth proportional to 443,451.76, 665,243.26 and 162,947.14 is: 244,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,451.76 : 665,243.26 = 162,947.14 : x
  2. Step 2: Convert to fraction form
    443,451.76/665,243.26 = 162,947.14/x
  3. Step 3: Cross multiply
    443,451.76x = 665,243.26 × 162,947.14
  4. Step 4: Simplify right side
    443,451.76x = 108,399,486,621.28
  5. Step 5: Solve for x
    x = 108,399,486,621.28/443,451.76
  6. Step 6: Final answer
    x = 244,444.82

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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.