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Finding the Fourth Proportional to 416,396.70, 624,178.41 and 191,919.42

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Solution

The fourth proportional to 416,396.70, 624,178.41 and 191,919.42 is: 287,687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,396.70 : 624,178.41 = 191,919.42 : x
  2. Step 2: Convert to fraction form
    416,396.70/624,178.41 = 191,919.42/x
  3. Step 3: Cross multiply
    416,396.70x = 624,178.41 × 191,919.42
  4. Step 4: Simplify right side
    416,396.70x = 119,791,958,423.72
  5. Step 5: Solve for x
    x = 119,791,958,423.72/416,396.70
  6. Step 6: Final answer
    x = 287,687.10

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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.