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Finding the Fourth Proportional to 435,640.20, 653,493.12 and 120,094.44

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Solution

The fourth proportional to 435,640.20, 653,493.12 and 120,094.44 is: 180,150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,640.20 : 653,493.12 = 120,094.44 : x
  2. Step 2: Convert to fraction form
    435,640.20/653,493.12 = 120,094.44/x
  3. Step 3: Cross multiply
    435,640.20x = 653,493.12 × 120,094.44
  4. Step 4: Simplify right side
    435,640.20x = 78,480,890,290.25
  5. Step 5: Solve for x
    x = 78,480,890,290.25/435,640.20
  6. Step 6: Final answer
    x = 180,150.71

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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.