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Finding the Fourth Proportional to 397,172.74, 595,571.90 and 144,274.96

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Solution

The fourth proportional to 397,172.74, 595,571.90 and 144,274.96 is: 216,344.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,172.74 : 595,571.90 = 144,274.96 : x
  2. Step 2: Convert to fraction form
    397,172.74/595,571.90 = 144,274.96/x
  3. Step 3: Cross multiply
    397,172.74x = 595,571.90 × 144,274.96
  4. Step 4: Simplify right side
    397,172.74x = 85,926,112,049.62
  5. Step 5: Solve for x
    x = 85,926,112,049.62/397,172.74
  6. Step 6: Final answer
    x = 216,344.44

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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.