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Finding the Fourth Proportional to 493,307.80, 739,961.70 and 419,824.60

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Solution

The fourth proportional to 493,307.80, 739,961.70 and 419,824.60 is: 629,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,307.80 : 739,961.70 = 419,824.60 : x
  2. Step 2: Convert to fraction form
    493,307.80/739,961.70 = 419,824.60/x
  3. Step 3: Cross multiply
    493,307.80x = 739,961.70 × 419,824.60
  4. Step 4: Simplify right side
    493,307.80x = 310,654,124,717.82
  5. Step 5: Solve for x
    x = 310,654,124,717.82/493,307.80
  6. Step 6: Final answer
    x = 629,736.90

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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.