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Finding the Fourth Proportional to 397,593.45, 596,375.82 and 172,954.04

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Solution

The fourth proportional to 397,593.45, 596,375.82 and 172,954.04 is: 259,424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,593.45 : 596,375.82 = 172,954.04 : x
  2. Step 2: Convert to fraction form
    397,593.45/596,375.82 = 172,954.04/x
  3. Step 3: Cross multiply
    397,593.45x = 596,375.82 × 172,954.04
  4. Step 4: Simplify right side
    397,593.45x = 103,145,607,427.31
  5. Step 5: Solve for x
    x = 103,145,607,427.31/397,593.45
  6. Step 6: Final answer
    x = 259,424.82

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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.