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Finding the Fourth Proportional to 397,315.20, 595,972.80 and 330,830.40

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Solution

The fourth proportional to 397,315.20, 595,972.80 and 330,830.40 is: 496,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,315.20 : 595,972.80 = 330,830.40 : x
  2. Step 2: Convert to fraction form
    397,315.20/595,972.80 = 330,830.40/x
  3. Step 3: Cross multiply
    397,315.20x = 595,972.80 × 330,830.40
  4. Step 4: Simplify right side
    397,315.20x = 197,165,919,813.12
  5. Step 5: Solve for x
    x = 197,165,919,813.12/397,315.20
  6. Step 6: Final answer
    x = 496,245.60

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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.