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Finding the Fourth Proportional to 617,891.82, 926,879.85 and 197,199.42

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Solution

The fourth proportional to 617,891.82, 926,879.85 and 197,199.42 is: 295,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,891.82 : 926,879.85 = 197,199.42 : x
  2. Step 2: Convert to fraction form
    617,891.82/926,879.85 = 197,199.42/x
  3. Step 3: Cross multiply
    617,891.82x = 926,879.85 × 197,199.42
  4. Step 4: Simplify right side
    617,891.82x = 182,780,163,209.29
  5. Step 5: Solve for x
    x = 182,780,163,209.29/617,891.82
  6. Step 6: Final answer
    x = 295,812.57

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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.