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Finding the Fourth Proportional to 443,471.41, 665,224.26 and 155,227.24

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Solution

The fourth proportional to 443,471.41, 665,224.26 and 155,227.24 is: 232,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,471.41 : 665,224.26 = 155,227.24 : x
  2. Step 2: Convert to fraction form
    443,471.41/665,224.26 = 155,227.24/x
  3. Step 3: Cross multiply
    443,471.41x = 665,224.26 × 155,227.24
  4. Step 4: Simplify right side
    443,471.41x = 103,260,925,860.84
  5. Step 5: Solve for x
    x = 103,260,925,860.84/443,471.41
  6. Step 6: Final answer
    x = 232,846.86

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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.