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Finding the Fourth Proportional to 396,964.80, 595,447.20 and 345,643.20

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Solution

The fourth proportional to 396,964.80, 595,447.20 and 345,643.20 is: 518,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,964.80 : 595,447.20 = 345,643.20 : x
  2. Step 2: Convert to fraction form
    396,964.80/595,447.20 = 345,643.20/x
  3. Step 3: Cross multiply
    396,964.80x = 595,447.20 × 345,643.20
  4. Step 4: Simplify right side
    396,964.80x = 205,812,275,639.04
  5. Step 5: Solve for x
    x = 205,812,275,639.04/396,964.80
  6. Step 6: Final answer
    x = 518,464.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.