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Finding the Fourth Proportional to 443,974.75, 665,851.26 and 174,157.72

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Solution

The fourth proportional to 443,974.75, 665,851.26 and 174,157.72 is: 261,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,974.75 : 665,851.26 = 174,157.72 : x
  2. Step 2: Convert to fraction form
    443,974.75/665,851.26 = 174,157.72/x
  3. Step 3: Cross multiply
    443,974.75x = 665,851.26 × 174,157.72
  4. Step 4: Simplify right side
    443,974.75x = 115,963,137,300.73
  5. Step 5: Solve for x
    x = 115,963,137,300.73/443,974.75
  6. Step 6: Final answer
    x = 261,193.09

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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.