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Finding the Fourth Proportional to 412,172.29, 617,453.47 and 284,065.89

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Solution

The fourth proportional to 412,172.29, 617,453.47 and 284,065.89 is: 425,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,172.29 : 617,453.47 = 284,065.89 : x
  2. Step 2: Convert to fraction form
    412,172.29/617,453.47 = 284,065.89/x
  3. Step 3: Cross multiply
    412,172.29x = 617,453.47 × 284,065.89
  4. Step 4: Simplify right side
    412,172.29x = 175,397,469,489.14
  5. Step 5: Solve for x
    x = 175,397,469,489.14/412,172.29
  6. Step 6: Final answer
    x = 425,544.06

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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.