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Finding the Fourth Proportional to 349,174.96, 523,992.12 and 191,514

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Solution

The fourth proportional to 349,174.96, 523,992.12 and 191,514 is: 287,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,174.96 : 523,992.12 = 191,514 : x
  2. Step 2: Convert to fraction form
    349,174.96/523,992.12 = 191,514/x
  3. Step 3: Cross multiply
    349,174.96x = 523,992.12 × 191,514
  4. Step 4: Simplify right side
    349,174.96x = 100,351,826,869.68
  5. Step 5: Solve for x
    x = 100,351,826,869.68/349,174.96
  6. Step 6: Final answer
    x = 287,396.97

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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.