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Finding the Fourth Proportional to 313,769.53, 470,467.14 and 124,257.07

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Solution

The fourth proportional to 313,769.53, 470,467.14 and 124,257.07 is: 186,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,769.53 : 470,467.14 = 124,257.07 : x
  2. Step 2: Convert to fraction form
    313,769.53/470,467.14 = 124,257.07/x
  3. Step 3: Cross multiply
    313,769.53x = 470,467.14 × 124,257.07
  4. Step 4: Simplify right side
    313,769.53x = 58,458,868,469.80
  5. Step 5: Solve for x
    x = 58,458,868,469.80/313,769.53
  6. Step 6: Final answer
    x = 186,311.49

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