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Finding the Fourth Proportional to 393,914.68, 591,020.91 and 154,199.89

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Solution

The fourth proportional to 393,914.68, 591,020.91 and 154,199.89 is: 231,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,914.68 : 591,020.91 = 154,199.89 : x
  2. Step 2: Convert to fraction form
    393,914.68/591,020.91 = 154,199.89/x
  3. Step 3: Cross multiply
    393,914.68x = 591,020.91 × 154,199.89
  4. Step 4: Simplify right side
    393,914.68x = 91,135,358,217.65
  5. Step 5: Solve for x
    x = 91,135,358,217.65/393,914.68
  6. Step 6: Final answer
    x = 231,358.12

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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.