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Finding the Fourth Proportional to 396,782.14, 594,954.51 and 206,768.32

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Solution

The fourth proportional to 396,782.14, 594,954.51 and 206,768.32 is: 310,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,782.14 : 594,954.51 = 206,768.32 : x
  2. Step 2: Convert to fraction form
    396,782.14/594,954.51 = 206,768.32/x
  3. Step 3: Cross multiply
    396,782.14x = 594,954.51 × 206,768.32
  4. Step 4: Simplify right side
    396,782.14x = 123,017,744,509.12
  5. Step 5: Solve for x
    x = 123,017,744,509.12/396,782.14
  6. Step 6: Final answer
    x = 310,038.51

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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.