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Finding the Fourth Proportional to 297,876.26, 447,132.72 and 120,499.22

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Solution

The fourth proportional to 297,876.26, 447,132.72 and 120,499.22 is: 180,877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,876.26 : 447,132.72 = 120,499.22 : x
  2. Step 2: Convert to fraction form
    297,876.26/447,132.72 = 120,499.22/x
  3. Step 3: Cross multiply
    297,876.26x = 447,132.72 × 120,499.22
  4. Step 4: Simplify right side
    297,876.26x = 53,879,143,996.48
  5. Step 5: Solve for x
    x = 53,879,143,996.48/297,876.26
  6. Step 6: Final answer
    x = 180,877.60

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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.