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Finding the Fourth Proportional to 449,354.40, 673,844.16 and 182,934

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Solution

The fourth proportional to 449,354.40, 673,844.16 and 182,934 is: 274,324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,354.40 : 673,844.16 = 182,934 : x
  2. Step 2: Convert to fraction form
    449,354.40/673,844.16 = 182,934/x
  3. Step 3: Cross multiply
    449,354.40x = 673,844.16 × 182,934
  4. Step 4: Simplify right side
    449,354.40x = 123,269,007,565.44
  5. Step 5: Solve for x
    x = 123,269,007,565.44/449,354.40
  6. Step 6: Final answer
    x = 274,324.69

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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.