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Finding the Fourth Proportional to 299,583.74, 413,297.16 and 172,232.30

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Solution

The fourth proportional to 299,583.74, 413,297.16 and 172,232.30 is: 237,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,583.74 : 413,297.16 = 172,232.30 : x
  2. Step 2: Convert to fraction form
    299,583.74/413,297.16 = 172,232.30/x
  3. Step 3: Cross multiply
    299,583.74x = 413,297.16 × 172,232.30
  4. Step 4: Simplify right side
    299,583.74x = 71,183,120,450.27
  5. Step 5: Solve for x
    x = 71,183,120,450.27/299,583.74
  6. Step 6: Final answer
    x = 237,606.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.