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Finding the Fourth Proportional to 511,851.60, 768,409.20 and 322,311.60

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Solution

The fourth proportional to 511,851.60, 768,409.20 and 322,311.60 is: 483,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,851.60 : 768,409.20 = 322,311.60 : x
  2. Step 2: Convert to fraction form
    511,851.60/768,409.20 = 322,311.60/x
  3. Step 3: Cross multiply
    511,851.60x = 768,409.20 × 322,311.60
  4. Step 4: Simplify right side
    511,851.60x = 247,667,198,706.72
  5. Step 5: Solve for x
    x = 247,667,198,706.72/511,851.60
  6. Step 6: Final answer
    x = 483,865.24

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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.