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Finding the Fourth Proportional to 349,177.96, 523,996.62 and 191,517

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Solution

The fourth proportional to 349,177.96, 523,996.62 and 191,517 is: 287,401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,177.96 : 523,996.62 = 191,517 : x
  2. Step 2: Convert to fraction form
    349,177.96/523,996.62 = 191,517/x
  3. Step 3: Cross multiply
    349,177.96x = 523,996.62 × 191,517
  4. Step 4: Simplify right side
    349,177.96x = 100,354,260,672.54
  5. Step 5: Solve for x
    x = 100,354,260,672.54/349,177.96
  6. Step 6: Final answer
    x = 287,401.47

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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.