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Finding the Fourth Proportional to 349,172.96, 523,989.12 and 191,512

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Solution

The fourth proportional to 349,172.96, 523,989.12 and 191,512 is: 287,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,172.96 : 523,989.12 = 191,512 : x
  2. Step 2: Convert to fraction form
    349,172.96/523,989.12 = 191,512/x
  3. Step 3: Cross multiply
    349,172.96x = 523,989.12 × 191,512
  4. Step 4: Simplify right side
    349,172.96x = 100,350,204,349.44
  5. Step 5: Solve for x
    x = 100,350,204,349.44/349,172.96
  6. Step 6: Final answer
    x = 287,393.97

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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.