Should the owner or operator of any private railroad, skid road, flume, canal, watercourse, or other right-of-way or easement provided for in RCW
79.110.020 and
79.110.030 fail to agree with the state or any grantee or lessee, as to the reasonable and proper rules and charges, concerning the transportation and movement of valuable materials from those lands contiguous to or in proximity to the lands over which the private right-of-way or easement is operated, the state or any grantee or lessee, owning and desiring to have the valuable materials transported or moved, may apply to the Washington state utilities and transportation commission for an inquiry into the reasonableness of the rules, investigate the rules, and make binding reasonable, proper, and just rates and regulations in accordance with the provisions of RCW
79.36.400.