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Finding the Fourth Proportional to 397,892.44, 596,819.22 and 148,555

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Solution

The fourth proportional to 397,892.44, 596,819.22 and 148,555 is: 222,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,892.44 : 596,819.22 = 148,555 : x
  2. Step 2: Convert to fraction form
    397,892.44/596,819.22 = 148,555/x
  3. Step 3: Cross multiply
    397,892.44x = 596,819.22 × 148,555
  4. Step 4: Simplify right side
    397,892.44x = 88,660,479,227.10
  5. Step 5: Solve for x
    x = 88,660,479,227.10/397,892.44
  6. Step 6: Final answer
    x = 222,825.24

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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.