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Finding the Fourth Proportional to 412,857.60, 619,286.40 and 389,529.60

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Solution

The fourth proportional to 412,857.60, 619,286.40 and 389,529.60 is: 584,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,857.60 : 619,286.40 = 389,529.60 : x
  2. Step 2: Convert to fraction form
    412,857.60/619,286.40 = 389,529.60/x
  3. Step 3: Cross multiply
    412,857.60x = 619,286.40 × 389,529.60
  4. Step 4: Simplify right side
    412,857.60x = 241,230,383,677.44
  5. Step 5: Solve for x
    x = 241,230,383,677.44/412,857.60
  6. Step 6: Final answer
    x = 584,294.40

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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.