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Finding the Fourth Proportional to 510,072.20, 765,108.30 and 421,425.80

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Solution

The fourth proportional to 510,072.20, 765,108.30 and 421,425.80 is: 632,138.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,072.20 : 765,108.30 = 421,425.80 : x
  2. Step 2: Convert to fraction form
    510,072.20/765,108.30 = 421,425.80/x
  3. Step 3: Cross multiply
    510,072.20x = 765,108.30 × 421,425.80
  4. Step 4: Simplify right side
    510,072.20x = 322,436,377,414.14
  5. Step 5: Solve for x
    x = 322,436,377,414.14/510,072.20
  6. Step 6: Final answer
    x = 632,138.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.