First, we convert the 210 pounds to kilograms as the dose is given in mg per kg.
Recall that:
![1pound=0.453592\text{ kilograms.}](https://img.qammunity.org/2023/formulas/mathematics/college/41l6zs62n3qgx78735552iixr0977wggnb.png)
Therefore:
![210\text{ pounds=95.2544 kilograms.}](https://img.qammunity.org/2023/formulas/mathematics/college/8a0ce6fgakkppn808h7gyygaeuvnmx7d1q.png)
The dose call for 330 mg per kg, therefore, to get the dose for 95.2544 kg, we multiply by 95.2544:
![330*95.2544\text{ mg=31433.952mg.}](https://img.qammunity.org/2023/formulas/mathematics/college/asuckcqs04ydu0e7qdj2aigureunz46yxw.png)
Finally, dividing by 4 we get the dose the person should receive every 6 hours:
![7858.488mg\approx7858mg.](https://img.qammunity.org/2023/formulas/mathematics/college/egenrz56z6m30ad2xmrp7kfpqrox3b7wx6.png)
Answer:
![7858.](https://img.qammunity.org/2023/formulas/mathematics/college/1hqhtmczn0i2wkp28s4u410o93ca3d9ug4.png)