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Finding the Fourth Proportional to 299,715.57, 449,281.11 and 119,747.34

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Solution

The fourth proportional to 299,715.57, 449,281.11 and 119,747.34 is: 179,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,715.57 : 449,281.11 = 119,747.34 : x
  2. Step 2: Convert to fraction form
    299,715.57/449,281.11 = 119,747.34/x
  3. Step 3: Cross multiply
    299,715.57x = 449,281.11 × 119,747.34
  4. Step 4: Simplify right side
    299,715.57x = 53,800,217,834.75
  5. Step 5: Solve for x
    x = 53,800,217,834.75/299,715.57
  6. Step 6: Final answer
    x = 179,504.25

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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.