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Finding the Fourth Proportional to 397,891.44, 596,817.72 and 148,554

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Solution

The fourth proportional to 397,891.44, 596,817.72 and 148,554 is: 222,823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,891.44 : 596,817.72 = 148,554 : x
  2. Step 2: Convert to fraction form
    397,891.44/596,817.72 = 148,554/x
  3. Step 3: Cross multiply
    397,891.44x = 596,817.72 × 148,554
  4. Step 4: Simplify right side
    397,891.44x = 88,659,659,576.88
  5. Step 5: Solve for x
    x = 88,659,659,576.88/397,891.44
  6. Step 6: Final answer
    x = 222,823.74

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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.