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Finding the Fourth Proportional to 449,196.86, 673,892.17 and 129,346.58

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Solution

The fourth proportional to 449,196.86, 673,892.17 and 129,346.58 is: 194,047.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,196.86 : 673,892.17 = 129,346.58 : x
  2. Step 2: Convert to fraction form
    449,196.86/673,892.17 = 129,346.58/x
  3. Step 3: Cross multiply
    449,196.86x = 673,892.17 × 129,346.58
  4. Step 4: Simplify right side
    449,196.86x = 87,165,647,478.28
  5. Step 5: Solve for x
    x = 87,165,647,478.28/449,196.86
  6. Step 6: Final answer
    x = 194,047.77

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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.