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Finding the Fourth Proportional to 462,847.16, 694,134.66 and 196,605.56

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Solution

The fourth proportional to 462,847.16, 694,134.66 and 196,605.56 is: 294,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,847.16 : 694,134.66 = 196,605.56 : x
  2. Step 2: Convert to fraction form
    462,847.16/694,134.66 = 196,605.56/x
  3. Step 3: Cross multiply
    462,847.16x = 694,134.66 × 196,605.56
  4. Step 4: Simplify right side
    462,847.16x = 136,470,736,017.32
  5. Step 5: Solve for x
    x = 136,470,736,017.32/462,847.16
  6. Step 6: Final answer
    x = 294,850.54

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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.