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Finding the Fourth Proportional to 411,311.88, 616,092.84 and 242,650.44

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Solution

The fourth proportional to 411,311.88, 616,092.84 and 242,650.44 is: 363,459.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,311.88 : 616,092.84 = 242,650.44 : x
  2. Step 2: Convert to fraction form
    411,311.88/616,092.84 = 242,650.44/x
  3. Step 3: Cross multiply
    411,311.88x = 616,092.84 × 242,650.44
  4. Step 4: Simplify right side
    411,311.88x = 149,495,198,706.85
  5. Step 5: Solve for x
    x = 149,495,198,706.85/411,311.88
  6. Step 6: Final answer
    x = 363,459.47

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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.