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Finding the Fourth Proportional to 512,998.60, 768,623.10 and 437,765.80

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Solution

The fourth proportional to 512,998.60, 768,623.10 and 437,765.80 is: 655,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,998.60 : 768,623.10 = 437,765.80 : x
  2. Step 2: Convert to fraction form
    512,998.60/768,623.10 = 437,765.80/x
  3. Step 3: Cross multiply
    512,998.60x = 768,623.10 × 437,765.80
  4. Step 4: Simplify right side
    512,998.60x = 336,476,906,269.98
  5. Step 5: Solve for x
    x = 336,476,906,269.98/512,998.60
  6. Step 6: Final answer
    x = 655,902.19

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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.