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Finding the Fourth Proportional to 412,823.80, 619,235.70 and 299,974.60

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Solution

The fourth proportional to 412,823.80, 619,235.70 and 299,974.60 is: 449,961.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,823.80 : 619,235.70 = 299,974.60 : x
  2. Step 2: Convert to fraction form
    412,823.80/619,235.70 = 299,974.60/x
  3. Step 3: Cross multiply
    412,823.80x = 619,235.70 × 299,974.60
  4. Step 4: Simplify right side
    412,823.80x = 185,754,981,413.22
  5. Step 5: Solve for x
    x = 185,754,981,413.22/412,823.80
  6. Step 6: Final answer
    x = 449,961.90

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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.